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Finding the Fourth Proportional to 406,102.56, 560,414.82 and 224,810.76

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Solution

The fourth proportional to 406,102.56, 560,414.82 and 224,810.76 is: 310,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,102.56 : 560,414.82 = 224,810.76 : x
  2. Step 2: Convert to fraction form
    406,102.56/560,414.82 = 224,810.76/x
  3. Step 3: Cross multiply
    406,102.56x = 560,414.82 × 224,810.76
  4. Step 4: Simplify right side
    406,102.56x = 125,987,281,599.46
  5. Step 5: Solve for x
    x = 125,987,281,599.46/406,102.56
  6. Step 6: Final answer
    x = 310,235.13

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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.