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Finding the Fourth Proportional to 406,048, 560,332.20 and 224,767.84

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Solution

The fourth proportional to 406,048, 560,332.20 and 224,767.84 is: 310,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,048 : 560,332.20 = 224,767.84 : x
  2. Step 2: Convert to fraction form
    406,048/560,332.20 = 224,767.84/x
  3. Step 3: Cross multiply
    406,048x = 560,332.20 × 224,767.84
  4. Step 4: Simplify right side
    406,048x = 125,944,658,276.45
  5. Step 5: Solve for x
    x = 125,944,658,276.45/406,048
  6. Step 6: Final answer
    x = 310,171.85

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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.