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Finding the Fourth Proportional to 406,017.91, 560,226.90 and 224,721.28

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Solution

The fourth proportional to 406,017.91, 560,226.90 and 224,721.28 is: 310,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,017.91 : 560,226.90 = 224,721.28 : x
  2. Step 2: Convert to fraction form
    406,017.91/560,226.90 = 224,721.28/x
  3. Step 3: Cross multiply
    406,017.91x = 560,226.90 × 224,721.28
  4. Step 4: Simplify right side
    406,017.91x = 125,894,904,657.87
  5. Step 5: Solve for x
    x = 125,894,904,657.87/406,017.91
  6. Step 6: Final answer
    x = 310,072.30

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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.