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Finding the Fourth Proportional to 282,592.90, 389,710.98 and 185,625.65

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Solution

The fourth proportional to 282,592.90, 389,710.98 and 185,625.65 is: 255,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,592.90 : 389,710.98 = 185,625.65 : x
  2. Step 2: Convert to fraction form
    282,592.90/389,710.98 = 185,625.65/x
  3. Step 3: Cross multiply
    282,592.90x = 389,710.98 × 185,625.65
  4. Step 4: Simplify right side
    282,592.90x = 72,340,354,635.96
  5. Step 5: Solve for x
    x = 72,340,354,635.96/282,592.90
  6. Step 6: Final answer
    x = 255,987.87

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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.