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Finding the Fourth Proportional to 406,002.74, 560,276.98 and 224,710.81

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Solution

The fourth proportional to 406,002.74, 560,276.98 and 224,710.81 is: 310,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,002.74 : 560,276.98 = 224,710.81 : x
  2. Step 2: Convert to fraction form
    406,002.74/560,276.98 = 224,710.81/x
  3. Step 3: Cross multiply
    406,002.74x = 560,276.98 × 224,710.81
  4. Step 4: Simplify right side
    406,002.74x = 125,900,292,037.68
  5. Step 5: Solve for x
    x = 125,900,292,037.68/406,002.74
  6. Step 6: Final answer
    x = 310,097.15

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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.