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Finding the Fourth Proportional to 296,045.71, 408,545.39 and 163,442.65

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Solution

The fourth proportional to 296,045.71, 408,545.39 and 163,442.65 is: 225,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,045.71 : 408,545.39 = 163,442.65 : x
  2. Step 2: Convert to fraction form
    296,045.71/408,545.39 = 163,442.65/x
  3. Step 3: Cross multiply
    296,045.71x = 408,545.39 × 163,442.65
  4. Step 4: Simplify right side
    296,045.71x = 66,773,741,186.88
  5. Step 5: Solve for x
    x = 66,773,741,186.88/296,045.71
  6. Step 6: Final answer
    x = 225,552.13

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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.