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Finding the Fourth Proportional to 478,714.56, 718,074.20 and 141,761.58

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Solution

The fourth proportional to 478,714.56, 718,074.20 and 141,761.58 is: 212,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,714.56 : 718,074.20 = 141,761.58 : x
  2. Step 2: Convert to fraction form
    478,714.56/718,074.20 = 141,761.58/x
  3. Step 3: Cross multiply
    478,714.56x = 718,074.20 × 141,761.58
  4. Step 4: Simplify right side
    478,714.56x = 101,795,333,149.24
  5. Step 5: Solve for x
    x = 101,795,333,149.24/478,714.56
  6. Step 6: Final answer
    x = 212,643.07

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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.