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Finding the Fourth Proportional to 306,711.80, 460,067.70 and 85,095.80

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Solution

The fourth proportional to 306,711.80, 460,067.70 and 85,095.80 is: 127,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711.80 : 460,067.70 = 85,095.80 : x
  2. Step 2: Convert to fraction form
    306,711.80/460,067.70 = 85,095.80/x
  3. Step 3: Cross multiply
    306,711.80x = 460,067.70 × 85,095.80
  4. Step 4: Simplify right side
    306,711.80x = 39,149,828,985.66
  5. Step 5: Solve for x
    x = 39,149,828,985.66/306,711.80
  6. Step 6: Final answer
    x = 127,643.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.