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Finding the Fourth Proportional to 406,226.39, 560,585.54 and 224,934.41

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Solution

The fourth proportional to 406,226.39, 560,585.54 and 224,934.41 is: 310,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,226.39 : 560,585.54 = 224,934.41 : x
  2. Step 2: Convert to fraction form
    406,226.39/560,585.54 = 224,934.41/x
  3. Step 3: Cross multiply
    406,226.39x = 560,585.54 × 224,934.41
  4. Step 4: Simplify right side
    406,226.39x = 126,094,977,694.43
  5. Step 5: Solve for x
    x = 126,094,977,694.43/406,226.39
  6. Step 6: Final answer
    x = 310,405.68

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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.