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Finding the Fourth Proportional to 778,414.04, 1,074,210.89 and 420,718.04

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Solution

The fourth proportional to 778,414.04, 1,074,210.89 and 420,718.04 is: 580,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,414.04 : 1,074,210.89 = 420,718.04 : x
  2. Step 2: Convert to fraction form
    778,414.04/1,074,210.89 = 420,718.04/x
  3. Step 3: Cross multiply
    778,414.04x = 1,074,210.89 × 420,718.04
  4. Step 4: Simplify right side
    778,414.04x = 451,939,900,187.46
  5. Step 5: Solve for x
    x = 451,939,900,187.46/778,414.04
  6. Step 6: Final answer
    x = 580,590.63

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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.