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Finding the Fourth Proportional to 410,840.80, 616,261.20 and 144,901.60

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Solution

The fourth proportional to 410,840.80, 616,261.20 and 144,901.60 is: 217,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,840.80 : 616,261.20 = 144,901.60 : x
  2. Step 2: Convert to fraction form
    410,840.80/616,261.20 = 144,901.60/x
  3. Step 3: Cross multiply
    410,840.80x = 616,261.20 × 144,901.60
  4. Step 4: Simplify right side
    410,840.80x = 89,297,233,897.92
  5. Step 5: Solve for x
    x = 89,297,233,897.92/410,840.80
  6. Step 6: Final answer
    x = 217,352.40

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1.5x scale

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.