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Finding the Fourth Proportional to 412,670.40, 618,645.60 and 160,123.20

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Solution

The fourth proportional to 412,670.40, 618,645.60 and 160,123.20 is: 240,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,670.40 : 618,645.60 = 160,123.20 : x
  2. Step 2: Convert to fraction form
    412,670.40/618,645.60 = 160,123.20/x
  3. Step 3: Cross multiply
    412,670.40x = 618,645.60 × 160,123.20
  4. Step 4: Simplify right side
    412,670.40x = 99,059,513,137.92
  5. Step 5: Solve for x
    x = 99,059,513,137.92/412,670.40
  6. Step 6: Final answer
    x = 240,045.11

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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.