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Finding the Fourth Proportional to 517,970.18, 714,704.09 and 288,521.61

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Solution

The fourth proportional to 517,970.18, 714,704.09 and 288,521.61 is: 398,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,970.18 : 714,704.09 = 288,521.61 : x
  2. Step 2: Convert to fraction form
    517,970.18/714,704.09 = 288,521.61/x
  3. Step 3: Cross multiply
    517,970.18x = 714,704.09 × 288,521.61
  4. Step 4: Simplify right side
    517,970.18x = 206,207,573,277.78
  5. Step 5: Solve for x
    x = 206,207,573,277.78/517,970.18
  6. Step 6: Final answer
    x = 398,107.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.