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Finding the Fourth Proportional to 463,946.52, 695,666.52 and 139,687.32

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Solution

The fourth proportional to 463,946.52, 695,666.52 and 139,687.32 is: 209,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,946.52 : 695,666.52 = 139,687.32 : x
  2. Step 2: Convert to fraction form
    463,946.52/695,666.52 = 139,687.32/x
  3. Step 3: Cross multiply
    463,946.52x = 695,666.52 × 139,687.32
  4. Step 4: Simplify right side
    463,946.52x = 97,175,791,792.53
  5. Step 5: Solve for x
    x = 97,175,791,792.53/463,946.52
  6. Step 6: Final answer
    x = 209,454.73

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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.