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Finding the Fourth Proportional to 502,750.40, 754,125.60 and 414,176.90

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Solution

The fourth proportional to 502,750.40, 754,125.60 and 414,176.90 is: 621,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,750.40 : 754,125.60 = 414,176.90 : x
  2. Step 2: Convert to fraction form
    502,750.40/754,125.60 = 414,176.90/x
  3. Step 3: Cross multiply
    502,750.40x = 754,125.60 × 414,176.90
  4. Step 4: Simplify right side
    502,750.40x = 312,341,403,218.64
  5. Step 5: Solve for x
    x = 312,341,403,218.64/502,750.40
  6. Step 6: Final answer
    x = 621,265.35

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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.