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Finding the Fourth Proportional to 506,962.87, 699,642.43 and 292,116.71

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Solution

The fourth proportional to 506,962.87, 699,642.43 and 292,116.71 is: 403,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,962.87 : 699,642.43 = 292,116.71 : x
  2. Step 2: Convert to fraction form
    506,962.87/699,642.43 = 292,116.71/x
  3. Step 3: Cross multiply
    506,962.87x = 699,642.43 × 292,116.71
  4. Step 4: Simplify right side
    506,962.87x = 204,377,245,846.82
  5. Step 5: Solve for x
    x = 204,377,245,846.82/506,962.87
  6. Step 6: Final answer
    x = 403,140.46

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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.