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Finding the Fourth Proportional to 520,838.48, 781,188.60 and 146,891.60

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Solution

The fourth proportional to 520,838.48, 781,188.60 and 146,891.60 is: 220,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,838.48 : 781,188.60 = 146,891.60 : x
  2. Step 2: Convert to fraction form
    520,838.48/781,188.60 = 146,891.60/x
  3. Step 3: Cross multiply
    520,838.48x = 781,188.60 × 146,891.60
  4. Step 4: Simplify right side
    520,838.48x = 114,750,043,355.76
  5. Step 5: Solve for x
    x = 114,750,043,355.76/520,838.48
  6. Step 6: Final answer
    x = 220,317.91

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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.