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Finding the Fourth Proportional to 407,382.30, 611,109 and 167,510.79

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Solution

The fourth proportional to 407,382.30, 611,109 and 167,510.79 is: 251,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,382.30 : 611,109 = 167,510.79 : x
  2. Step 2: Convert to fraction form
    407,382.30/611,109 = 167,510.79/x
  3. Step 3: Cross multiply
    407,382.30x = 611,109 × 167,510.79
  4. Step 4: Simplify right side
    407,382.30x = 102,367,351,366.11
  5. Step 5: Solve for x
    x = 102,367,351,366.11/407,382.30
  6. Step 6: Final answer
    x = 251,280.80

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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.