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Finding the Fourth Proportional to 417,746.40, 626,619.60 and 410,834.40

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Solution

The fourth proportional to 417,746.40, 626,619.60 and 410,834.40 is: 616,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,746.40 : 626,619.60 = 410,834.40 : x
  2. Step 2: Convert to fraction form
    417,746.40/626,619.60 = 410,834.40/x
  3. Step 3: Cross multiply
    417,746.40x = 626,619.60 × 410,834.40
  4. Step 4: Simplify right side
    417,746.40x = 257,436,887,394.24
  5. Step 5: Solve for x
    x = 257,436,887,394.24/417,746.40
  6. Step 6: Final answer
    x = 616,251.60

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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.