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Finding the Fourth Proportional to 442,023.80, 663,035.70 and 146,535.80

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Solution

The fourth proportional to 442,023.80, 663,035.70 and 146,535.80 is: 219,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,023.80 : 663,035.70 = 146,535.80 : x
  2. Step 2: Convert to fraction form
    442,023.80/663,035.70 = 146,535.80/x
  3. Step 3: Cross multiply
    442,023.80x = 663,035.70 × 146,535.80
  4. Step 4: Simplify right side
    442,023.80x = 97,158,466,728.06
  5. Step 5: Solve for x
    x = 97,158,466,728.06/442,023.80
  6. Step 6: Final answer
    x = 219,803.70

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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.