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Finding the Fourth Proportional to 434,737.20, 652,105.80 and 299,434.80

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Solution

The fourth proportional to 434,737.20, 652,105.80 and 299,434.80 is: 449,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,737.20 : 652,105.80 = 299,434.80 : x
  2. Step 2: Convert to fraction form
    434,737.20/652,105.80 = 299,434.80/x
  3. Step 3: Cross multiply
    434,737.20x = 652,105.80 × 299,434.80
  4. Step 4: Simplify right side
    434,737.20x = 195,263,169,801.84
  5. Step 5: Solve for x
    x = 195,263,169,801.84/434,737.20
  6. Step 6: Final answer
    x = 449,152.20

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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.