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Finding the Fourth Proportional to 306,770.40, 460,501.20 and 236,959.20

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Solution

The fourth proportional to 306,770.40, 460,501.20 and 236,959.20 is: 355,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,770.40 : 460,501.20 = 236,959.20 : x
  2. Step 2: Convert to fraction form
    306,770.40/460,501.20 = 236,959.20/x
  3. Step 3: Cross multiply
    306,770.40x = 460,501.20 × 236,959.20
  4. Step 4: Simplify right side
    306,770.40x = 109,119,995,951.04
  5. Step 5: Solve for x
    x = 109,119,995,951.04/306,770.40
  6. Step 6: Final answer
    x = 355,705.75

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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.