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Finding the Fourth Proportional to 420,389.38, 580,149.66 and 229,415.08

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Solution

The fourth proportional to 420,389.38, 580,149.66 and 229,415.08 is: 316,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,389.38 : 580,149.66 = 229,415.08 : x
  2. Step 2: Convert to fraction form
    420,389.38/580,149.66 = 229,415.08/x
  3. Step 3: Cross multiply
    420,389.38x = 580,149.66 × 229,415.08
  4. Step 4: Simplify right side
    420,389.38x = 133,095,080,660.87
  5. Step 5: Solve for x
    x = 133,095,080,660.87/420,389.38
  6. Step 6: Final answer
    x = 316,599.53

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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.