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Finding the Fourth Proportional to 583,714.62, 875,598.39 and 178,877.70

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Solution

The fourth proportional to 583,714.62, 875,598.39 and 178,877.70 is: 268,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,714.62 : 875,598.39 = 178,877.70 : x
  2. Step 2: Convert to fraction form
    583,714.62/875,598.39 = 178,877.70/x
  3. Step 3: Cross multiply
    583,714.62x = 875,598.39 × 178,877.70
  4. Step 4: Simplify right side
    583,714.62x = 156,625,026,126.90
  5. Step 5: Solve for x
    x = 156,625,026,126.90/583,714.62
  6. Step 6: Final answer
    x = 268,324.66

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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.