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Finding the Fourth Proportional to 432,470.90, 647,151.15 and 292,502.90

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Solution

The fourth proportional to 432,470.90, 647,151.15 and 292,502.90 is: 437,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,470.90 : 647,151.15 = 292,502.90 : x
  2. Step 2: Convert to fraction form
    432,470.90/647,151.15 = 292,502.90/x
  3. Step 3: Cross multiply
    432,470.90x = 647,151.15 × 292,502.90
  4. Step 4: Simplify right side
    432,470.90x = 189,293,588,113.34
  5. Step 5: Solve for x
    x = 189,293,588,113.34/432,470.90
  6. Step 6: Final answer
    x = 437,702.49

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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.