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Finding the Fourth Proportional to 649,616.22, 896,473.98 and 363,148.38

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Solution

The fourth proportional to 649,616.22, 896,473.98 and 363,148.38 is: 501,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,616.22 : 896,473.98 = 363,148.38 : x
  2. Step 2: Convert to fraction form
    649,616.22/896,473.98 = 363,148.38/x
  3. Step 3: Cross multiply
    649,616.22x = 896,473.98 × 363,148.38
  4. Step 4: Simplify right side
    649,616.22x = 325,553,073,549.15
  5. Step 5: Solve for x
    x = 325,553,073,549.15/649,616.22
  6. Step 6: Final answer
    x = 501,146.77

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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.