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Finding the Fourth Proportional to 315,180.51, 434,950.12 and 171,943.55

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Solution

The fourth proportional to 315,180.51, 434,950.12 and 171,943.55 is: 237,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,180.51 : 434,950.12 = 171,943.55 : x
  2. Step 2: Convert to fraction form
    315,180.51/434,950.12 = 171,943.55/x
  3. Step 3: Cross multiply
    315,180.51x = 434,950.12 × 171,943.55
  4. Step 4: Simplify right side
    315,180.51x = 74,786,867,705.73
  5. Step 5: Solve for x
    x = 74,786,867,705.73/315,180.51
  6. Step 6: Final answer
    x = 237,282.65

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1.5x scale

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.