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Finding the Fourth Proportional to 488,314, 732,475.56 and 172,824.40

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Solution

The fourth proportional to 488,314, 732,475.56 and 172,824.40 is: 259,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,314 : 732,475.56 = 172,824.40 : x
  2. Step 2: Convert to fraction form
    488,314/732,475.56 = 172,824.40/x
  3. Step 3: Cross multiply
    488,314x = 732,475.56 × 172,824.40
  4. Step 4: Simplify right side
    488,314x = 126,589,649,171.66
  5. Step 5: Solve for x
    x = 126,589,649,171.66/488,314
  6. Step 6: Final answer
    x = 259,238.21

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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.