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Finding the Fourth Proportional to 642,814.40, 964,048.80 and 193,534.40

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Solution

The fourth proportional to 642,814.40, 964,048.80 and 193,534.40 is: 290,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,814.40 : 964,048.80 = 193,534.40 : x
  2. Step 2: Convert to fraction form
    642,814.40/964,048.80 = 193,534.40/x
  3. Step 3: Cross multiply
    642,814.40x = 964,048.80 × 193,534.40
  4. Step 4: Simplify right side
    642,814.40x = 186,576,606,078.72
  5. Step 5: Solve for x
    x = 186,576,606,078.72/642,814.40
  6. Step 6: Final answer
    x = 290,249.57

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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.