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Finding the Fourth Proportional to 403,565.46, 605,138.02 and 150,637.98

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Solution

The fourth proportional to 403,565.46, 605,138.02 and 150,637.98 is: 225,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,565.46 : 605,138.02 = 150,637.98 : x
  2. Step 2: Convert to fraction form
    403,565.46/605,138.02 = 150,637.98/x
  3. Step 3: Cross multiply
    403,565.46x = 605,138.02 × 150,637.98
  4. Step 4: Simplify right side
    403,565.46x = 91,156,768,954.00
  5. Step 5: Solve for x
    x = 91,156,768,954.00/403,565.46
  6. Step 6: Final answer
    x = 225,878.52

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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.