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Finding the Fourth Proportional to 230,778.65, 318,474.69 and 127,412.93

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Solution

The fourth proportional to 230,778.65, 318,474.69 and 127,412.93 is: 175,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,778.65 : 318,474.69 = 127,412.93 : x
  2. Step 2: Convert to fraction form
    230,778.65/318,474.69 = 127,412.93/x
  3. Step 3: Cross multiply
    230,778.65x = 318,474.69 × 127,412.93
  4. Step 4: Simplify right side
    230,778.65x = 40,577,793,383.74
  5. Step 5: Solve for x
    x = 40,577,793,383.74/230,778.65
  6. Step 6: Final answer
    x = 175,829.93

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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.