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Finding the Fourth Proportional to 406,079.48, 560,382.90 and 224,787.58

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Solution

The fourth proportional to 406,079.48, 560,382.90 and 224,787.58 is: 310,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,079.48 : 560,382.90 = 224,787.58 : x
  2. Step 2: Convert to fraction form
    406,079.48/560,382.90 = 224,787.58/x
  3. Step 3: Cross multiply
    406,079.48x = 560,382.90 × 224,787.58
  4. Step 4: Simplify right side
    406,079.48x = 125,967,115,964.38
  5. Step 5: Solve for x
    x = 125,967,115,964.38/406,079.48
  6. Step 6: Final answer
    x = 310,203.11

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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.