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Finding the Fourth Proportional to 306,866, 460,304.76 and 85,255.76

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Solution

The fourth proportional to 306,866, 460,304.76 and 85,255.76 is: 127,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,866 : 460,304.76 = 85,255.76 : x
  2. Step 2: Convert to fraction form
    306,866/460,304.76 = 85,255.76/x
  3. Step 3: Cross multiply
    306,866x = 460,304.76 × 85,255.76
  4. Step 4: Simplify right side
    306,866x = 39,243,632,145.42
  5. Step 5: Solve for x
    x = 39,243,632,145.42/306,866
  6. Step 6: Final answer
    x = 127,885.24

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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.