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Finding the Fourth Proportional to 351,756.60, 527,246.10 and 194,098.20

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Solution

The fourth proportional to 351,756.60, 527,246.10 and 194,098.20 is: 290,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,756.60 : 527,246.10 = 194,098.20 : x
  2. Step 2: Convert to fraction form
    351,756.60/527,246.10 = 194,098.20/x
  3. Step 3: Cross multiply
    351,756.60x = 527,246.10 × 194,098.20
  4. Step 4: Simplify right side
    351,756.60x = 102,337,518,967.02
  5. Step 5: Solve for x
    x = 102,337,518,967.02/351,756.60
  6. Step 6: Final answer
    x = 290,932.76

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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.