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Finding the Fourth Proportional to 426,841.24, 640,261.88 and 146,360.92

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Solution

The fourth proportional to 426,841.24, 640,261.88 and 146,360.92 is: 219,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,841.24 : 640,261.88 = 146,360.92 : x
  2. Step 2: Convert to fraction form
    426,841.24/640,261.88 = 146,360.92/x
  3. Step 3: Cross multiply
    426,841.24x = 640,261.88 × 146,360.92
  4. Step 4: Simplify right side
    426,841.24x = 93,709,317,797.73
  5. Step 5: Solve for x
    x = 93,709,317,797.73/426,841.24
  6. Step 6: Final answer
    x = 219,541.39

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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.