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Finding the Fourth Proportional to 506,462.10, 699,132.90 and 315,569.82

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Solution

The fourth proportional to 506,462.10, 699,132.90 and 315,569.82 is: 435,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,462.10 : 699,132.90 = 315,569.82 : x
  2. Step 2: Convert to fraction form
    506,462.10/699,132.90 = 315,569.82/x
  3. Step 3: Cross multiply
    506,462.10x = 699,132.90 × 315,569.82
  4. Step 4: Simplify right side
    506,462.10x = 220,625,243,409.08
  5. Step 5: Solve for x
    x = 220,625,243,409.08/506,462.10
  6. Step 6: Final answer
    x = 435,620.44

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