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Finding the Fourth Proportional to 307,315.04, 460,967.92 and 187,407.20

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Solution

The fourth proportional to 307,315.04, 460,967.92 and 187,407.20 is: 281,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,315.04 : 460,967.92 = 187,407.20 : x
  2. Step 2: Convert to fraction form
    307,315.04/460,967.92 = 187,407.20/x
  3. Step 3: Cross multiply
    307,315.04x = 460,967.92 × 187,407.20
  4. Step 4: Simplify right side
    307,315.04x = 86,388,707,177.02
  5. Step 5: Solve for x
    x = 86,388,707,177.02/307,315.04
  6. Step 6: Final answer
    x = 281,107.97

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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.