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Finding the Fourth Proportional to 403,637.29, 605,245.70 and 150,709.77

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Solution

The fourth proportional to 403,637.29, 605,245.70 and 150,709.77 is: 225,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,637.29 : 605,245.70 = 150,709.77 : x
  2. Step 2: Convert to fraction form
    403,637.29/605,245.70 = 150,709.77/x
  3. Step 3: Cross multiply
    403,637.29x = 605,245.70 × 150,709.77
  4. Step 4: Simplify right side
    403,637.29x = 91,216,440,617.26
  5. Step 5: Solve for x
    x = 91,216,440,617.26/403,637.29
  6. Step 6: Final answer
    x = 225,986.16

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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.