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Finding the Fourth Proportional to 307,837.80, 460,706.40 and 257,974.20

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Solution

The fourth proportional to 307,837.80, 460,706.40 and 257,974.20 is: 386,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,837.80 : 460,706.40 = 257,974.20 : x
  2. Step 2: Convert to fraction form
    307,837.80/460,706.40 = 257,974.20/x
  3. Step 3: Cross multiply
    307,837.80x = 460,706.40 × 257,974.20
  4. Step 4: Simplify right side
    307,837.80x = 118,850,364,974.88
  5. Step 5: Solve for x
    x = 118,850,364,974.88/307,837.80
  6. Step 6: Final answer
    x = 386,081.13

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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.