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Finding the Fourth Proportional to 410,718.60, 616,466.70 and 253,254.60

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Solution

The fourth proportional to 410,718.60, 616,466.70 and 253,254.60 is: 380,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,718.60 : 616,466.70 = 253,254.60 : x
  2. Step 2: Convert to fraction form
    410,718.60/616,466.70 = 253,254.60/x
  3. Step 3: Cross multiply
    410,718.60x = 616,466.70 × 253,254.60
  4. Step 4: Simplify right side
    410,718.60x = 156,123,027,521.82
  5. Step 5: Solve for x
    x = 156,123,027,521.82/410,718.60
  6. Step 6: Final answer
    x = 380,121.64

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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.