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Finding the Fourth Proportional to 478,040.16, 717,080.13 and 141,080.88

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Solution

The fourth proportional to 478,040.16, 717,080.13 and 141,080.88 is: 211,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,040.16 : 717,080.13 = 141,080.88 : x
  2. Step 2: Convert to fraction form
    478,040.16/717,080.13 = 141,080.88/x
  3. Step 3: Cross multiply
    478,040.16x = 717,080.13 × 141,080.88
  4. Step 4: Simplify right side
    478,040.16x = 101,166,295,770.91
  5. Step 5: Solve for x
    x = 101,166,295,770.91/478,040.16
  6. Step 6: Final answer
    x = 211,627.19

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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.