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Finding the Fourth Proportional to 417,680.40, 626,520.60 and 410,768.40

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Solution

The fourth proportional to 417,680.40, 626,520.60 and 410,768.40 is: 616,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,680.40 : 626,520.60 = 410,768.40 : x
  2. Step 2: Convert to fraction form
    417,680.40/626,520.60 = 410,768.40/x
  3. Step 3: Cross multiply
    417,680.40x = 626,520.60 × 410,768.40
  4. Step 4: Simplify right side
    417,680.40x = 257,354,864,429.04
  5. Step 5: Solve for x
    x = 257,354,864,429.04/417,680.40
  6. Step 6: Final answer
    x = 616,152.60

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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.