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Finding the Fourth Proportional to 475,839.36, 656,652.72 and 258,044.64

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Solution

The fourth proportional to 475,839.36, 656,652.72 and 258,044.64 is: 356,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,839.36 : 656,652.72 = 258,044.64 : x
  2. Step 2: Convert to fraction form
    475,839.36/656,652.72 = 258,044.64/x
  3. Step 3: Cross multiply
    475,839.36x = 656,652.72 × 258,044.64
  4. Step 4: Simplify right side
    475,839.36x = 169,445,714,737.42
  5. Step 5: Solve for x
    x = 169,445,714,737.42/475,839.36
  6. Step 6: Final answer
    x = 356,098.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.