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Finding the Fourth Proportional to 406,053.44, 560,339.52 and 224,765.76

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Solution

The fourth proportional to 406,053.44, 560,339.52 and 224,765.76 is: 310,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,053.44 : 560,339.52 = 224,765.76 : x
  2. Step 2: Convert to fraction form
    406,053.44/560,339.52 = 224,765.76/x
  3. Step 3: Cross multiply
    406,053.44x = 560,339.52 × 224,765.76
  4. Step 4: Simplify right side
    406,053.44x = 125,945,138,070.84
  5. Step 5: Solve for x
    x = 125,945,138,070.84/406,053.44
  6. Step 6: Final answer
    x = 310,168.87

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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.