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Finding the Fourth Proportional to 435,205.28, 652,282.95 and 224,728.48

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Solution

The fourth proportional to 435,205.28, 652,282.95 and 224,728.48 is: 336,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,205.28 : 652,282.95 = 224,728.48 : x
  2. Step 2: Convert to fraction form
    435,205.28/652,282.95 = 224,728.48/x
  3. Step 3: Cross multiply
    435,205.28x = 652,282.95 × 224,728.48
  4. Step 4: Simplify right side
    435,205.28x = 146,586,555,883.42
  5. Step 5: Solve for x
    x = 146,586,555,883.42/435,205.28
  6. Step 6: Final answer
    x = 336,821.64

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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.