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Finding the Fourth Proportional to 518,084.10, 714,992.67 and 288,656.46

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Solution

The fourth proportional to 518,084.10, 714,992.67 and 288,656.46 is: 398,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,084.10 : 714,992.67 = 288,656.46 : x
  2. Step 2: Convert to fraction form
    518,084.10/714,992.67 = 288,656.46/x
  3. Step 3: Cross multiply
    518,084.10x = 714,992.67 × 288,656.46
  4. Step 4: Simplify right side
    518,084.10x = 206,387,253,048.15
  5. Step 5: Solve for x
    x = 206,387,253,048.15/518,084.10
  6. Step 6: Final answer
    x = 398,366.31

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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.