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Finding the Fourth Proportional to 319,160.61, 478,689.08 and 150,680.61

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Solution

The fourth proportional to 319,160.61, 478,689.08 and 150,680.61 is: 225,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,160.61 : 478,689.08 = 150,680.61 : x
  2. Step 2: Convert to fraction form
    319,160.61/478,689.08 = 150,680.61/x
  3. Step 3: Cross multiply
    319,160.61x = 478,689.08 × 150,680.61
  4. Step 4: Simplify right side
    319,160.61x = 72,129,161,821.34
  5. Step 5: Solve for x
    x = 72,129,161,821.34/319,160.61
  6. Step 6: Final answer
    x = 225,996.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.