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Finding the Fourth Proportional to 406,002.68, 560,279.40 and 224,714.96

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Solution

The fourth proportional to 406,002.68, 560,279.40 and 224,714.96 is: 310,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,002.68 : 560,279.40 = 224,714.96 : x
  2. Step 2: Convert to fraction form
    406,002.68/560,279.40 = 224,714.96/x
  3. Step 3: Cross multiply
    406,002.68x = 560,279.40 × 224,714.96
  4. Step 4: Simplify right side
    406,002.68x = 125,903,162,959.82
  5. Step 5: Solve for x
    x = 125,903,162,959.82/406,002.68
  6. Step 6: Final answer
    x = 310,104.27

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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.