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Finding the Fourth Proportional to 403,174.80, 604,695.92 and 150,389.19

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Solution

The fourth proportional to 403,174.80, 604,695.92 and 150,389.19 is: 225,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,174.80 : 604,695.92 = 150,389.19 : x
  2. Step 2: Convert to fraction form
    403,174.80/604,695.92 = 150,389.19/x
  3. Step 3: Cross multiply
    403,174.80x = 604,695.92 × 150,389.19
  4. Step 4: Simplify right side
    403,174.80x = 90,939,728,853.16
  5. Step 5: Solve for x
    x = 90,939,728,853.16/403,174.80
  6. Step 6: Final answer
    x = 225,559.06

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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.