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Finding the Fourth Proportional to 416,232.40, 624,348.60 and 410,011.60

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Solution

The fourth proportional to 416,232.40, 624,348.60 and 410,011.60 is: 615,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,232.40 : 624,348.60 = 410,011.60 : x
  2. Step 2: Convert to fraction form
    416,232.40/624,348.60 = 410,011.60/x
  3. Step 3: Cross multiply
    416,232.40x = 624,348.60 × 410,011.60
  4. Step 4: Simplify right side
    416,232.40x = 255,990,168,443.76
  5. Step 5: Solve for x
    x = 255,990,168,443.76/416,232.40
  6. Step 6: Final answer
    x = 615,017.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.