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Finding the Fourth Proportional to 406,359.38, 560,807.50 and 225,088.18

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Solution

The fourth proportional to 406,359.38, 560,807.50 and 225,088.18 is: 310,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,359.38 : 560,807.50 = 225,088.18 : x
  2. Step 2: Convert to fraction form
    406,359.38/560,807.50 = 225,088.18/x
  3. Step 3: Cross multiply
    406,359.38x = 560,807.50 × 225,088.18
  4. Step 4: Simplify right side
    406,359.38x = 126,231,136,620.77
  5. Step 5: Solve for x
    x = 126,231,136,620.77/406,359.38
  6. Step 6: Final answer
    x = 310,639.16

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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.