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Finding the Fourth Proportional to 864,640.92, 1,193,224.59 and 542,364.60

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Solution

The fourth proportional to 864,640.92, 1,193,224.59 and 542,364.60 is: 748,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,640.92 : 1,193,224.59 = 542,364.60 : x
  2. Step 2: Convert to fraction form
    864,640.92/1,193,224.59 = 542,364.60/x
  3. Step 3: Cross multiply
    864,640.92x = 1,193,224.59 × 542,364.60
  4. Step 4: Simplify right side
    864,640.92x = 647,162,777,465.51
  5. Step 5: Solve for x
    x = 647,162,777,465.51/864,640.92
  6. Step 6: Final answer
    x = 748,475.77

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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.