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Finding the Fourth Proportional to 406,045.38, 560,347.56 and 224,774.04

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Solution

The fourth proportional to 406,045.38, 560,347.56 and 224,774.04 is: 310,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,045.38 : 560,347.56 = 224,774.04 : x
  2. Step 2: Convert to fraction form
    406,045.38/560,347.56 = 224,774.04/x
  3. Step 3: Cross multiply
    406,045.38x = 560,347.56 × 224,774.04
  4. Step 4: Simplify right side
    406,045.38x = 125,951,584,865.34
  5. Step 5: Solve for x
    x = 125,951,584,865.34/406,045.38
  6. Step 6: Final answer
    x = 310,190.91

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1.5x scale

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.