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Finding the Fourth Proportional to 312,981.94, 431,875.47 and 185,632.66

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Solution

The fourth proportional to 312,981.94, 431,875.47 and 185,632.66 is: 256,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,981.94 : 431,875.47 = 185,632.66 : x
  2. Step 2: Convert to fraction form
    312,981.94/431,875.47 = 185,632.66/x
  3. Step 3: Cross multiply
    312,981.94x = 431,875.47 × 185,632.66
  4. Step 4: Simplify right side
    312,981.94x = 80,170,192,284.85
  5. Step 5: Solve for x
    x = 80,170,192,284.85/312,981.94
  6. Step 6: Final answer
    x = 256,149.58

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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.