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Finding the Fourth Proportional to 314,869.01, 472,331.82 and 101,641.97

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Solution

The fourth proportional to 314,869.01, 472,331.82 and 101,641.97 is: 152,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,869.01 : 472,331.82 = 101,641.97 : x
  2. Step 2: Convert to fraction form
    314,869.01/472,331.82 = 101,641.97/x
  3. Step 3: Cross multiply
    314,869.01x = 472,331.82 × 101,641.97
  4. Step 4: Simplify right side
    314,869.01x = 48,008,738,240.47
  5. Step 5: Solve for x
    x = 48,008,738,240.47/314,869.01
  6. Step 6: Final answer
    x = 152,472.10

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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.