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Finding the Fourth Proportional to 398,650.86, 597,874.23 and 118,102.50

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Solution

The fourth proportional to 398,650.86, 597,874.23 and 118,102.50 is: 177,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,650.86 : 597,874.23 = 118,102.50 : x
  2. Step 2: Convert to fraction form
    398,650.86/597,874.23 = 118,102.50/x
  3. Step 3: Cross multiply
    398,650.86x = 597,874.23 × 118,102.50
  4. Step 4: Simplify right side
    398,650.86x = 70,610,441,248.58
  5. Step 5: Solve for x
    x = 70,610,441,248.58/398,650.86
  6. Step 6: Final answer
    x = 177,123.51

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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.