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Finding the Fourth Proportional to 416,339.20, 624,508.80 and 410,118.40

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Solution

The fourth proportional to 416,339.20, 624,508.80 and 410,118.40 is: 615,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,339.20 : 624,508.80 = 410,118.40 : x
  2. Step 2: Convert to fraction form
    416,339.20/624,508.80 = 410,118.40/x
  3. Step 3: Cross multiply
    416,339.20x = 624,508.80 × 410,118.40
  4. Step 4: Simplify right side
    416,339.20x = 256,122,549,841.92
  5. Step 5: Solve for x
    x = 256,122,549,841.92/416,339.20
  6. Step 6: Final answer
    x = 615,177.60

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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.