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Finding the Fourth Proportional to 511,400.52, 705,734.51 and 281,952.83

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Solution

The fourth proportional to 511,400.52, 705,734.51 and 281,952.83 is: 389,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,400.52 : 705,734.51 = 281,952.83 : x
  2. Step 2: Convert to fraction form
    511,400.52/705,734.51 = 281,952.83/x
  3. Step 3: Cross multiply
    511,400.52x = 705,734.51 × 281,952.83
  4. Step 4: Simplify right side
    511,400.52x = 198,983,842,677.74
  5. Step 5: Solve for x
    x = 198,983,842,677.74/511,400.52
  6. Step 6: Final answer
    x = 389,095.89

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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.