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Finding the Fourth Proportional to 488,344.32, 732,432.48 and 146,782.56

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Solution

The fourth proportional to 488,344.32, 732,432.48 and 146,782.56 is: 220,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,344.32 : 732,432.48 = 146,782.56 : x
  2. Step 2: Convert to fraction form
    488,344.32/732,432.48 = 146,782.56/x
  3. Step 3: Cross multiply
    488,344.32x = 732,432.48 × 146,782.56
  4. Step 4: Simplify right side
    488,344.32x = 107,508,314,441.55
  5. Step 5: Solve for x
    x = 107,508,314,441.55/488,344.32
  6. Step 6: Final answer
    x = 220,148.59

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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.