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Finding the Fourth Proportional to 311,983.80, 467,975.70 and 292,300.80

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Solution

The fourth proportional to 311,983.80, 467,975.70 and 292,300.80 is: 438,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983.80 : 467,975.70 = 292,300.80 : x
  2. Step 2: Convert to fraction form
    311,983.80/467,975.70 = 292,300.80/x
  3. Step 3: Cross multiply
    311,983.80x = 467,975.70 × 292,300.80
  4. Step 4: Simplify right side
    311,983.80x = 136,789,671,490.56
  5. Step 5: Solve for x
    x = 136,789,671,490.56/311,983.80
  6. Step 6: Final answer
    x = 438,451.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.