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Finding the Fourth Proportional to 445,822.30, 668,830.65 and 146,251.90

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Solution

The fourth proportional to 445,822.30, 668,830.65 and 146,251.90 is: 219,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,822.30 : 668,830.65 = 146,251.90 : x
  2. Step 2: Convert to fraction form
    445,822.30/668,830.65 = 146,251.90/x
  3. Step 3: Cross multiply
    445,822.30x = 668,830.65 × 146,251.90
  4. Step 4: Simplify right side
    445,822.30x = 97,817,753,340.74
  5. Step 5: Solve for x
    x = 97,817,753,340.74/445,822.30
  6. Step 6: Final answer
    x = 219,409.74

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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.