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Finding the Fourth Proportional to 410,724.40, 616,178.40 and 144,493.60

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Solution

The fourth proportional to 410,724.40, 616,178.40 and 144,493.60 is: 216,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,724.40 : 616,178.40 = 144,493.60 : x
  2. Step 2: Convert to fraction form
    410,724.40/616,178.40 = 144,493.60/x
  3. Step 3: Cross multiply
    410,724.40x = 616,178.40 × 144,493.60
  4. Step 4: Simplify right side
    410,724.40x = 89,033,835,258.24
  5. Step 5: Solve for x
    x = 89,033,835,258.24/410,724.40
  6. Step 6: Final answer
    x = 216,772.70

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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.