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Finding the Fourth Proportional to 408,423.40, 612,780.90 and 171,838.60

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Solution

The fourth proportional to 408,423.40, 612,780.90 and 171,838.60 is: 257,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,423.40 : 612,780.90 = 171,838.60 : x
  2. Step 2: Convert to fraction form
    408,423.40/612,780.90 = 171,838.60/x
  3. Step 3: Cross multiply
    408,423.40x = 612,780.90 × 171,838.60
  4. Step 4: Simplify right side
    408,423.40x = 105,299,411,962.74
  5. Step 5: Solve for x
    x = 105,299,411,962.74/408,423.40
  6. Step 6: Final answer
    x = 257,819.24

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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.