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Finding the Fourth Proportional to 642,677.36, 964,150.90 and 193,431.11

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Solution

The fourth proportional to 642,677.36, 964,150.90 and 193,431.11 is: 290,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,677.36 : 964,150.90 = 193,431.11 : x
  2. Step 2: Convert to fraction form
    642,677.36/964,150.90 = 193,431.11/x
  3. Step 3: Cross multiply
    642,677.36x = 964,150.90 × 193,431.11
  4. Step 4: Simplify right side
    642,677.36x = 186,496,773,490.17
  5. Step 5: Solve for x
    x = 186,496,773,490.17/642,677.36
  6. Step 6: Final answer
    x = 290,187.25

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.