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Finding the Fourth Proportional to 649,545.10, 896,353.70 and 359,151.66

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Solution

The fourth proportional to 649,545.10, 896,353.70 and 359,151.66 is: 495,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,545.10 : 896,353.70 = 359,151.66 : x
  2. Step 2: Convert to fraction form
    649,545.10/896,353.70 = 359,151.66/x
  3. Step 3: Cross multiply
    649,545.10x = 896,353.70 × 359,151.66
  4. Step 4: Simplify right side
    649,545.10x = 321,926,917,506.38
  5. Step 5: Solve for x
    x = 321,926,917,506.38/649,545.10
  6. Step 6: Final answer
    x = 495,619.04

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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.