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Finding the Fourth Proportional to 778,728.96, 1,074,643.94 and 434,561.30

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Solution

The fourth proportional to 778,728.96, 1,074,643.94 and 434,561.30 is: 599,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,728.96 : 1,074,643.94 = 434,561.30 : x
  2. Step 2: Convert to fraction form
    778,728.96/1,074,643.94 = 434,561.30/x
  3. Step 3: Cross multiply
    778,728.96x = 1,074,643.94 × 434,561.30
  4. Step 4: Simplify right side
    778,728.96x = 466,998,667,603.52
  5. Step 5: Solve for x
    x = 466,998,667,603.52/778,728.96
  6. Step 6: Final answer
    x = 599,693.46

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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.