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Finding the Fourth Proportional to 415,870.20, 623,498.10 and 166,423.80

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Solution

The fourth proportional to 415,870.20, 623,498.10 and 166,423.80 is: 249,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,870.20 : 623,498.10 = 166,423.80 : x
  2. Step 2: Convert to fraction form
    415,870.20/623,498.10 = 166,423.80/x
  3. Step 3: Cross multiply
    415,870.20x = 623,498.10 × 166,423.80
  4. Step 4: Simplify right side
    415,870.20x = 103,764,923,094.78
  5. Step 5: Solve for x
    x = 103,764,923,094.78/415,870.20
  6. Step 6: Final answer
    x = 249,512.76

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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.