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Finding the Fourth Proportional to 517,461.92, 714,091.82 and 288,015.55

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Solution

The fourth proportional to 517,461.92, 714,091.82 and 288,015.55 is: 397,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,461.92 : 714,091.82 = 288,015.55 : x
  2. Step 2: Convert to fraction form
    517,461.92/714,091.82 = 288,015.55/x
  3. Step 3: Cross multiply
    517,461.92x = 714,091.82 × 288,015.55
  4. Step 4: Simplify right side
    517,461.92x = 205,669,545,062.49
  5. Step 5: Solve for x
    x = 205,669,545,062.49/517,461.92
  6. Step 6: Final answer
    x = 397,458.32

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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.