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Finding the Fourth Proportional to 406,232.06, 560,593.40 and 224,940.10

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Solution

The fourth proportional to 406,232.06, 560,593.40 and 224,940.10 is: 310,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,232.06 : 560,593.40 = 224,940.10 : x
  2. Step 2: Convert to fraction form
    406,232.06/560,593.40 = 224,940.10/x
  3. Step 3: Cross multiply
    406,232.06x = 560,593.40 × 224,940.10
  4. Step 4: Simplify right side
    406,232.06x = 126,099,935,875.73
  5. Step 5: Solve for x
    x = 126,099,935,875.73/406,232.06
  6. Step 6: Final answer
    x = 310,413.55

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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.