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Finding the Fourth Proportional to 435,205.78, 652,283.70 and 224,728.98

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Solution

The fourth proportional to 435,205.78, 652,283.70 and 224,728.98 is: 336,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,205.78 : 652,283.70 = 224,728.98 : x
  2. Step 2: Convert to fraction form
    435,205.78/652,283.70 = 224,728.98/x
  3. Step 3: Cross multiply
    435,205.78x = 652,283.70 × 224,728.98
  4. Step 4: Simplify right side
    435,205.78x = 146,587,050,571.63
  5. Step 5: Solve for x
    x = 146,587,050,571.63/435,205.78
  6. Step 6: Final answer
    x = 336,822.39

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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.