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Finding the Fourth Proportional to 649,706.90, 896,597.52 and 363,227

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Solution

The fourth proportional to 649,706.90, 896,597.52 and 363,227 is: 501,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,706.90 : 896,597.52 = 363,227 : x
  2. Step 2: Convert to fraction form
    649,706.90/896,597.52 = 363,227/x
  3. Step 3: Cross multiply
    649,706.90x = 896,597.52 × 363,227
  4. Step 4: Simplify right side
    649,706.90x = 325,668,427,397.04
  5. Step 5: Solve for x
    x = 325,668,427,397.04/649,706.90
  6. Step 6: Final answer
    x = 501,254.38

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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.