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Finding the Fourth Proportional to 416,326.40, 624,489.60 and 410,105.60

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Solution

The fourth proportional to 416,326.40, 624,489.60 and 410,105.60 is: 615,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,326.40 : 624,489.60 = 410,105.60 : x
  2. Step 2: Convert to fraction form
    416,326.40/624,489.60 = 410,105.60/x
  3. Step 3: Cross multiply
    416,326.40x = 624,489.60 × 410,105.60
  4. Step 4: Simplify right side
    416,326.40x = 256,106,682,101.76
  5. Step 5: Solve for x
    x = 256,106,682,101.76/416,326.40
  6. Step 6: Final answer
    x = 615,158.40

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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.