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Finding the Fourth Proportional to 402,915.80, 604,373.70 and 166,179.80

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Solution

The fourth proportional to 402,915.80, 604,373.70 and 166,179.80 is: 249,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,915.80 : 604,373.70 = 166,179.80 : x
  2. Step 2: Convert to fraction form
    402,915.80/604,373.70 = 166,179.80/x
  3. Step 3: Cross multiply
    402,915.80x = 604,373.70 × 166,179.80
  4. Step 4: Simplify right side
    402,915.80x = 100,434,700,591.26
  5. Step 5: Solve for x
    x = 100,434,700,591.26/402,915.80
  6. Step 6: Final answer
    x = 249,269.70

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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.