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Finding the Fourth Proportional to 778,498.45, 1,074,324.41 and 420,802.45

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Solution

The fourth proportional to 778,498.45, 1,074,324.41 and 420,802.45 is: 580,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,498.45 : 1,074,324.41 = 420,802.45 : x
  2. Step 2: Convert to fraction form
    778,498.45/1,074,324.41 = 420,802.45/x
  3. Step 3: Cross multiply
    778,498.45x = 1,074,324.41 × 420,802.45
  4. Step 4: Simplify right side
    778,498.45x = 452,078,340,610.99
  5. Step 5: Solve for x
    x = 452,078,340,610.99/778,498.45
  6. Step 6: Final answer
    x = 580,705.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.