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Finding the Fourth Proportional to 406,025.71, 560,297.84 and 224,726.82

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Solution

The fourth proportional to 406,025.71, 560,297.84 and 224,726.82 is: 310,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,025.71 : 560,297.84 = 224,726.82 : x
  2. Step 2: Convert to fraction form
    406,025.71/560,297.84 = 224,726.82/x
  3. Step 3: Cross multiply
    406,025.71x = 560,297.84 × 224,726.82
  4. Step 4: Simplify right side
    406,025.71x = 125,913,951,836.07
  5. Step 5: Solve for x
    x = 125,913,951,836.07/406,025.71
  6. Step 6: Final answer
    x = 310,113.25

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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.