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Finding the Fourth Proportional to 406,020.06, 560,293.38 and 224,732.34

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Solution

The fourth proportional to 406,020.06, 560,293.38 and 224,732.34 is: 310,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,020.06 : 560,293.38 = 224,732.34 : x
  2. Step 2: Convert to fraction form
    406,020.06/560,293.38 = 224,732.34/x
  3. Step 3: Cross multiply
    406,020.06x = 560,293.38 × 224,732.34
  4. Step 4: Simplify right side
    406,020.06x = 125,916,042,373.91
  5. Step 5: Solve for x
    x = 125,916,042,373.91/406,020.06
  6. Step 6: Final answer
    x = 310,122.71

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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.