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Finding the Fourth Proportional to 466,102.78, 698,516.28 and 352,156.90

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Solution

The fourth proportional to 466,102.78, 698,516.28 and 352,156.90 is: 527,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,102.78 : 698,516.28 = 352,156.90 : x
  2. Step 2: Convert to fraction form
    466,102.78/698,516.28 = 352,156.90/x
  3. Step 3: Cross multiply
    466,102.78x = 698,516.28 × 352,156.90
  4. Step 4: Simplify right side
    466,102.78x = 245,987,327,764.33
  5. Step 5: Solve for x
    x = 245,987,327,764.33/466,102.78
  6. Step 6: Final answer
    x = 527,753.40

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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.