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Finding the Fourth Proportional to 243,643.70, 365,465.55 and 224,981.30

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Solution

The fourth proportional to 243,643.70, 365,465.55 and 224,981.30 is: 337,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,643.70 : 365,465.55 = 224,981.30 : x
  2. Step 2: Convert to fraction form
    243,643.70/365,465.55 = 224,981.30/x
  3. Step 3: Cross multiply
    243,643.70x = 365,465.55 × 224,981.30
  4. Step 4: Simplify right side
    243,643.70x = 82,222,914,544.22
  5. Step 5: Solve for x
    x = 82,222,914,544.22/243,643.70
  6. Step 6: Final answer
    x = 337,471.95

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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.