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Finding the Fourth Proportional to 420,510.42, 580,282.38 and 229,520.52

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Solution

The fourth proportional to 420,510.42, 580,282.38 and 229,520.52 is: 316,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,510.42 : 580,282.38 = 229,520.52 : x
  2. Step 2: Convert to fraction form
    420,510.42/580,282.38 = 229,520.52/x
  3. Step 3: Cross multiply
    420,510.42x = 580,282.38 × 229,520.52
  4. Step 4: Simplify right side
    420,510.42x = 133,186,713,604.44
  5. Step 5: Solve for x
    x = 133,186,713,604.44/420,510.42
  6. Step 6: Final answer
    x = 316,726.31

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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.