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Finding the Fourth Proportional to 313,700.65, 432,905.75 and 177,760.47

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Solution

The fourth proportional to 313,700.65, 432,905.75 and 177,760.47 is: 245,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,700.65 : 432,905.75 = 177,760.47 : x
  2. Step 2: Convert to fraction form
    313,700.65/432,905.75 = 177,760.47/x
  3. Step 3: Cross multiply
    313,700.65x = 432,905.75 × 177,760.47
  4. Step 4: Simplify right side
    313,700.65x = 76,953,530,986.90
  5. Step 5: Solve for x
    x = 76,953,530,986.90/313,700.65
  6. Step 6: Final answer
    x = 245,308.81

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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.