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Finding the Fourth Proportional to 307,792.83, 424,775.51 and 171,853.50

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Solution

The fourth proportional to 307,792.83, 424,775.51 and 171,853.50 is: 237,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,792.83 : 424,775.51 = 171,853.50 : x
  2. Step 2: Convert to fraction form
    307,792.83/424,775.51 = 171,853.50/x
  3. Step 3: Cross multiply
    307,792.83x = 424,775.51 × 171,853.50
  4. Step 4: Simplify right side
    307,792.83x = 72,999,158,107.79
  5. Step 5: Solve for x
    x = 72,999,158,107.79/307,792.83
  6. Step 6: Final answer
    x = 237,169.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.