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Finding the Fourth Proportional to 413,527.30, 580,119.20 and 413,527.30

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Solution

The fourth proportional to 413,527.30, 580,119.20 and 413,527.30 is: 580,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,527.30 : 580,119.20 = 413,527.30 : x
  2. Step 2: Convert to fraction form
    413,527.30/580,119.20 = 413,527.30/x
  3. Step 3: Cross multiply
    413,527.30x = 580,119.20 × 413,527.30
  4. Step 4: Simplify right side
    413,527.30x = 239,895,126,454.16
  5. Step 5: Solve for x
    x = 239,895,126,454.16/413,527.30
  6. Step 6: Final answer
    x = 580,119.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.