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Finding the Fourth Proportional to 312,288.61, 431,206.73 and 288,406.57

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Solution

The fourth proportional to 312,288.61, 431,206.73 and 288,406.57 is: 398,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.61 : 431,206.73 = 288,406.57 : x
  2. Step 2: Convert to fraction form
    312,288.61/431,206.73 = 288,406.57/x
  3. Step 3: Cross multiply
    312,288.61x = 431,206.73 × 288,406.57
  4. Step 4: Simplify right side
    312,288.61x = 124,362,853,960.22
  5. Step 5: Solve for x
    x = 124,362,853,960.22/312,288.61
  6. Step 6: Final answer
    x = 398,230.51

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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.