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Finding the Fourth Proportional to 308,045.76, 461,869.38 and 202,544.88

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Solution

The fourth proportional to 308,045.76, 461,869.38 and 202,544.88 is: 303,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,045.76 : 461,869.38 = 202,544.88 : x
  2. Step 2: Convert to fraction form
    308,045.76/461,869.38 = 202,544.88/x
  3. Step 3: Cross multiply
    308,045.76x = 461,869.38 × 202,544.88
  4. Step 4: Simplify right side
    308,045.76x = 93,549,278,147.77
  5. Step 5: Solve for x
    x = 93,549,278,147.77/308,045.76
  6. Step 6: Final answer
    x = 303,686.30

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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.