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Finding the Fourth Proportional to 427,046.40, 640,627.20 and 146,649.60

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Solution

The fourth proportional to 427,046.40, 640,627.20 and 146,649.60 is: 219,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,046.40 : 640,627.20 = 146,649.60 : x
  2. Step 2: Convert to fraction form
    427,046.40/640,627.20 = 146,649.60/x
  3. Step 3: Cross multiply
    427,046.40x = 640,627.20 × 146,649.60
  4. Step 4: Simplify right side
    427,046.40x = 93,947,722,629.12
  5. Step 5: Solve for x
    x = 93,947,722,629.12/427,046.40
  6. Step 6: Final answer
    x = 219,994.18

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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.