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Finding the Fourth Proportional to 316,503.29, 474,796.62 and 103,196.30

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Solution

The fourth proportional to 316,503.29, 474,796.62 and 103,196.30 is: 154,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,503.29 : 474,796.62 = 103,196.30 : x
  2. Step 2: Convert to fraction form
    316,503.29/474,796.62 = 103,196.30/x
  3. Step 3: Cross multiply
    316,503.29x = 474,796.62 × 103,196.30
  4. Step 4: Simplify right side
    316,503.29x = 48,997,252,062.52
  5. Step 5: Solve for x
    x = 48,997,252,062.52/316,503.29
  6. Step 6: Final answer
    x = 154,808.03

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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.