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Finding the Fourth Proportional to 478,036.85, 717,057.02 and 178,514.24

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Solution

The fourth proportional to 478,036.85, 717,057.02 and 178,514.24 is: 267,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,036.85 : 717,057.02 = 178,514.24 : x
  2. Step 2: Convert to fraction form
    478,036.85/717,057.02 = 178,514.24/x
  3. Step 3: Cross multiply
    478,036.85x = 717,057.02 × 178,514.24
  4. Step 4: Simplify right side
    478,036.85x = 128,004,885,822.97
  5. Step 5: Solve for x
    x = 128,004,885,822.97/478,036.85
  6. Step 6: Final answer
    x = 267,772.01

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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.