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Finding the Fourth Proportional to 427,562.90, 640,943.40 and 161,502.20

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Solution

The fourth proportional to 427,562.90, 640,943.40 and 161,502.20 is: 242,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,562.90 : 640,943.40 = 161,502.20 : x
  2. Step 2: Convert to fraction form
    427,562.90/640,943.40 = 161,502.20/x
  3. Step 3: Cross multiply
    427,562.90x = 640,943.40 × 161,502.20
  4. Step 4: Simplify right side
    427,562.90x = 103,513,769,175.48
  5. Step 5: Solve for x
    x = 103,513,769,175.48/427,562.90
  6. Step 6: Final answer
    x = 242,101.85

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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.