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Finding the Fourth Proportional to 445,830.60, 668,826.90 and 146,227.80

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Solution

The fourth proportional to 445,830.60, 668,826.90 and 146,227.80 is: 219,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,830.60 : 668,826.90 = 146,227.80 : x
  2. Step 2: Convert to fraction form
    445,830.60/668,826.90 = 146,227.80/x
  3. Step 3: Cross multiply
    445,830.60x = 668,826.90 × 146,227.80
  4. Step 4: Simplify right side
    445,830.60x = 97,801,086,167.82
  5. Step 5: Solve for x
    x = 97,801,086,167.82/445,830.60
  6. Step 6: Final answer
    x = 219,368.27

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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.