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Finding the Fourth Proportional to 410,848.40, 616,364.40 and 144,617.60

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Solution

The fourth proportional to 410,848.40, 616,364.40 and 144,617.60 is: 216,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,848.40 : 616,364.40 = 144,617.60 : x
  2. Step 2: Convert to fraction form
    410,848.40/616,364.40 = 144,617.60/x
  3. Step 3: Cross multiply
    410,848.40x = 616,364.40 × 144,617.60
  4. Step 4: Simplify right side
    410,848.40x = 89,137,140,253.44
  5. Step 5: Solve for x
    x = 89,137,140,253.44/410,848.40
  6. Step 6: Final answer
    x = 216,958.71

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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.