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Finding the Fourth Proportional to 416,330.20, 624,495.30 and 410,109.40

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Solution

The fourth proportional to 416,330.20, 624,495.30 and 410,109.40 is: 615,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,330.20 : 624,495.30 = 410,109.40 : x
  2. Step 2: Convert to fraction form
    416,330.20/624,495.30 = 410,109.40/x
  3. Step 3: Cross multiply
    416,330.20x = 624,495.30 × 410,109.40
  4. Step 4: Simplify right side
    416,330.20x = 256,111,392,785.82
  5. Step 5: Solve for x
    x = 256,111,392,785.82/416,330.20
  6. Step 6: Final answer
    x = 615,164.10

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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.