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Finding the Fourth Proportional to 307,856.30, 460,909.65 and 272,864.30

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Solution

The fourth proportional to 307,856.30, 460,909.65 and 272,864.30 is: 408,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856.30 : 460,909.65 = 272,864.30 : x
  2. Step 2: Convert to fraction form
    307,856.30/460,909.65 = 272,864.30/x
  3. Step 3: Cross multiply
    307,856.30x = 460,909.65 × 272,864.30
  4. Step 4: Simplify right side
    307,856.30x = 125,765,789,010.50
  5. Step 5: Solve for x
    x = 125,765,789,010.50/307,856.30
  6. Step 6: Final answer
    x = 408,521.08

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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.