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Finding the Fourth Proportional to 312,346.41, 431,046.86 and 176,400.80

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Solution

The fourth proportional to 312,346.41, 431,046.86 and 176,400.80 is: 243,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,346.41 : 431,046.86 = 176,400.80 : x
  2. Step 2: Convert to fraction form
    312,346.41/431,046.86 = 176,400.80/x
  3. Step 3: Cross multiply
    312,346.41x = 431,046.86 × 176,400.80
  4. Step 4: Simplify right side
    312,346.41x = 76,037,010,941.49
  5. Step 5: Solve for x
    x = 76,037,010,941.49/312,346.41
  6. Step 6: Final answer
    x = 243,438.08

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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.