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Finding the Fourth Proportional to 778,543.40, 1,074,390.18 and 420,847.40

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Solution

The fourth proportional to 778,543.40, 1,074,390.18 and 420,847.40 is: 580,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,543.40 : 1,074,390.18 = 420,847.40 : x
  2. Step 2: Convert to fraction form
    778,543.40/1,074,390.18 = 420,847.40/x
  3. Step 3: Cross multiply
    778,543.40x = 1,074,390.18 × 420,847.40
  4. Step 4: Simplify right side
    778,543.40x = 452,154,313,838.53
  5. Step 5: Solve for x
    x = 452,154,313,838.53/778,543.40
  6. Step 6: Final answer
    x = 580,769.57

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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.