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Finding the Fourth Proportional to 312,604.92, 431,346.06 and 185,259.96

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Solution

The fourth proportional to 312,604.92, 431,346.06 and 185,259.96 is: 255,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,604.92 : 431,346.06 = 185,259.96 : x
  2. Step 2: Convert to fraction form
    312,604.92/431,346.06 = 185,259.96/x
  3. Step 3: Cross multiply
    312,604.92x = 431,346.06 × 185,259.96
  4. Step 4: Simplify right side
    312,604.92x = 79,911,153,821.76
  5. Step 5: Solve for x
    x = 79,911,153,821.76/312,604.92
  6. Step 6: Final answer
    x = 255,629.87

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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.