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Finding the Fourth Proportional to 313,973.70, 467,635.89 and 312,444.15

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Solution

The fourth proportional to 313,973.70, 467,635.89 and 312,444.15 is: 465,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,973.70 : 467,635.89 = 312,444.15 : x
  2. Step 2: Convert to fraction form
    313,973.70/467,635.89 = 312,444.15/x
  3. Step 3: Cross multiply
    313,973.70x = 467,635.89 × 312,444.15
  4. Step 4: Simplify right side
    313,973.70x = 146,110,098,160.54
  5. Step 5: Solve for x
    x = 146,110,098,160.54/313,973.70
  6. Step 6: Final answer
    x = 465,357.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.