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Finding the Fourth Proportional to 232,731.80, 349,097.70 and 209,112.20

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Solution

The fourth proportional to 232,731.80, 349,097.70 and 209,112.20 is: 313,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,731.80 : 349,097.70 = 209,112.20 : x
  2. Step 2: Convert to fraction form
    232,731.80/349,097.70 = 209,112.20/x
  3. Step 3: Cross multiply
    232,731.80x = 349,097.70 × 209,112.20
  4. Step 4: Simplify right side
    232,731.80x = 73,000,588,061.94
  5. Step 5: Solve for x
    x = 73,000,588,061.94/232,731.80
  6. Step 6: Final answer
    x = 313,668.30

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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.