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Finding the Fourth Proportional to 409,767.84, 614,629.62 and 157,169.34

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Solution

The fourth proportional to 409,767.84, 614,629.62 and 157,169.34 is: 235,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,767.84 : 614,629.62 = 157,169.34 : x
  2. Step 2: Convert to fraction form
    409,767.84/614,629.62 = 157,169.34/x
  3. Step 3: Cross multiply
    409,767.84x = 614,629.62 × 157,169.34
  4. Step 4: Simplify right side
    409,767.84x = 96,600,931,719.85
  5. Step 5: Solve for x
    x = 96,600,931,719.85/409,767.84
  6. Step 6: Final answer
    x = 235,745.52

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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.