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Finding the Fourth Proportional to 306,919.34, 460,377.99 and 138,242.22

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Solution

The fourth proportional to 306,919.34, 460,377.99 and 138,242.22 is: 207,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,919.34 : 460,377.99 = 138,242.22 : x
  2. Step 2: Convert to fraction form
    306,919.34/460,377.99 = 138,242.22/x
  3. Step 3: Cross multiply
    306,919.34x = 460,377.99 × 138,242.22
  4. Step 4: Simplify right side
    306,919.34x = 63,643,675,376.74
  5. Step 5: Solve for x
    x = 63,643,675,376.74/306,919.34
  6. Step 6: Final answer
    x = 207,362.87

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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.