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Finding the Fourth Proportional to 468,151.43, 646,495.24 and 442,648.17

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Solution

The fourth proportional to 468,151.43, 646,495.24 and 442,648.17 is: 611,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,151.43 : 646,495.24 = 442,648.17 : x
  2. Step 2: Convert to fraction form
    468,151.43/646,495.24 = 442,648.17/x
  3. Step 3: Cross multiply
    468,151.43x = 646,495.24 × 442,648.17
  4. Step 4: Simplify right side
    468,151.43x = 286,169,933,793.09
  5. Step 5: Solve for x
    x = 286,169,933,793.09/468,151.43
  6. Step 6: Final answer
    x = 611,276.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.