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Finding the Fourth Proportional to 306,868, 460,307.76 and 85,257.76

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Solution

The fourth proportional to 306,868, 460,307.76 and 85,257.76 is: 127,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,868 : 460,307.76 = 85,257.76 : x
  2. Step 2: Convert to fraction form
    306,868/460,307.76 = 85,257.76/x
  3. Step 3: Cross multiply
    306,868x = 460,307.76 × 85,257.76
  4. Step 4: Simplify right side
    306,868x = 39,244,808,528.22
  5. Step 5: Solve for x
    x = 39,244,808,528.22/306,868
  6. Step 6: Final answer
    x = 127,888.24

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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.