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Finding the Fourth Proportional to 313,758.90, 432,996.84 and 192,971.16

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Solution

The fourth proportional to 313,758.90, 432,996.84 and 192,971.16 is: 266,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,758.90 : 432,996.84 = 192,971.16 : x
  2. Step 2: Convert to fraction form
    313,758.90/432,996.84 = 192,971.16/x
  3. Step 3: Cross multiply
    313,758.90x = 432,996.84 × 192,971.16
  4. Step 4: Simplify right side
    313,758.90x = 83,555,902,491.13
  5. Step 5: Solve for x
    x = 83,555,902,491.13/313,758.90
  6. Step 6: Final answer
    x = 266,306.08

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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.