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Finding the Fourth Proportional to 520,046.60, 780,012.30 and 146,107.40

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Solution

The fourth proportional to 520,046.60, 780,012.30 and 146,107.40 is: 219,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,046.60 : 780,012.30 = 146,107.40 : x
  2. Step 2: Convert to fraction form
    520,046.60/780,012.30 = 146,107.40/x
  3. Step 3: Cross multiply
    520,046.60x = 780,012.30 × 146,107.40
  4. Step 4: Simplify right side
    520,046.60x = 113,965,569,121.02
  5. Step 5: Solve for x
    x = 113,965,569,121.02/520,046.60
  6. Step 6: Final answer
    x = 219,144.92

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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.