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Finding the Fourth Proportional to 520,877.40, 781,170.30 and 166,000.20

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Solution

The fourth proportional to 520,877.40, 781,170.30 and 166,000.20 is: 248,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,877.40 : 781,170.30 = 166,000.20 : x
  2. Step 2: Convert to fraction form
    520,877.40/781,170.30 = 166,000.20/x
  3. Step 3: Cross multiply
    520,877.40x = 781,170.30 × 166,000.20
  4. Step 4: Simplify right side
    520,877.40x = 129,674,426,034.06
  5. Step 5: Solve for x
    x = 129,674,426,034.06/520,877.40
  6. Step 6: Final answer
    x = 248,953.83

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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.