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Finding the Fourth Proportional to 306,818, 460,232.76 and 85,207.76

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Solution

The fourth proportional to 306,818, 460,232.76 and 85,207.76 is: 127,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,818 : 460,232.76 = 85,207.76 : x
  2. Step 2: Convert to fraction form
    306,818/460,232.76 = 85,207.76/x
  3. Step 3: Cross multiply
    306,818x = 460,232.76 × 85,207.76
  4. Step 4: Simplify right side
    306,818x = 39,215,402,558.22
  5. Step 5: Solve for x
    x = 39,215,402,558.22/306,818
  6. Step 6: Final answer
    x = 127,813.24

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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.