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Finding the Fourth Proportional to 406,022.71, 560,293.70 and 224,723.82

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Solution

The fourth proportional to 406,022.71, 560,293.70 and 224,723.82 is: 310,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,022.71 : 560,293.70 = 224,723.82 : x
  2. Step 2: Convert to fraction form
    406,022.71/560,293.70 = 224,723.82/x
  3. Step 3: Cross multiply
    406,022.71x = 560,293.70 × 224,723.82
  4. Step 4: Simplify right side
    406,022.71x = 125,911,340,585.93
  5. Step 5: Solve for x
    x = 125,911,340,585.93/406,022.71
  6. Step 6: Final answer
    x = 310,109.11

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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.