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Finding the Fourth Proportional to 517,806.68, 714,527.70 and 288,346.64

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Solution

The fourth proportional to 517,806.68, 714,527.70 and 288,346.64 is: 397,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,806.68 : 714,527.70 = 288,346.64 : x
  2. Step 2: Convert to fraction form
    517,806.68/714,527.70 = 288,346.64/x
  3. Step 3: Cross multiply
    517,806.68x = 714,527.70 × 288,346.64
  4. Step 4: Simplify right side
    517,806.68x = 206,031,661,481.93
  5. Step 5: Solve for x
    x = 206,031,661,481.93/517,806.68
  6. Step 6: Final answer
    x = 397,893.02

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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.