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Finding the Fourth Proportional to 415,730.32, 573,709.31 and 224,743.75

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Solution

The fourth proportional to 415,730.32, 573,709.31 and 224,743.75 is: 310,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,730.32 : 573,709.31 = 224,743.75 : x
  2. Step 2: Convert to fraction form
    415,730.32/573,709.31 = 224,743.75/x
  3. Step 3: Cross multiply
    415,730.32x = 573,709.31 × 224,743.75
  4. Step 4: Simplify right side
    415,730.32x = 128,937,581,739.31
  5. Step 5: Solve for x
    x = 128,937,581,739.31/415,730.32
  6. Step 6: Final answer
    x = 310,147.17

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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.