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Finding the Fourth Proportional to 319,096.80, 478,414.80 and 178,898.40

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Solution

The fourth proportional to 319,096.80, 478,414.80 and 178,898.40 is: 268,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,096.80 : 478,414.80 = 178,898.40 : x
  2. Step 2: Convert to fraction form
    319,096.80/478,414.80 = 178,898.40/x
  3. Step 3: Cross multiply
    319,096.80x = 478,414.80 × 178,898.40
  4. Step 4: Simplify right side
    319,096.80x = 85,587,642,256.32
  5. Step 5: Solve for x
    x = 85,587,642,256.32/319,096.80
  6. Step 6: Final answer
    x = 268,218.43

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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.