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Finding the Fourth Proportional to 407,517.65, 611,256.75 and 154,778.41

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Solution

The fourth proportional to 407,517.65, 611,256.75 and 154,778.41 is: 232,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,517.65 : 611,256.75 = 154,778.41 : x
  2. Step 2: Convert to fraction form
    407,517.65/611,256.75 = 154,778.41/x
  3. Step 3: Cross multiply
    407,517.65x = 611,256.75 × 154,778.41
  4. Step 4: Simplify right side
    407,517.65x = 94,609,347,866.77
  5. Step 5: Solve for x
    x = 94,609,347,866.77/407,517.65
  6. Step 6: Final answer
    x = 232,160.12

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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.