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Finding the Fourth Proportional to 397,655.68, 596,299.20 and 148,270.72

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Solution

The fourth proportional to 397,655.68, 596,299.20 and 148,270.72 is: 222,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,655.68 : 596,299.20 = 148,270.72 : x
  2. Step 2: Convert to fraction form
    397,655.68/596,299.20 = 148,270.72/x
  3. Step 3: Cross multiply
    397,655.68x = 596,299.20 × 148,270.72
  4. Step 4: Simplify right side
    397,655.68x = 88,413,711,719.42
  5. Step 5: Solve for x
    x = 88,413,711,719.42/397,655.68
  6. Step 6: Final answer
    x = 222,337.35

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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.