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Finding the Fourth Proportional to 313,967.43, 433,261.87 and 178,010.52

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Solution

The fourth proportional to 313,967.43, 433,261.87 and 178,010.52 is: 245,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,967.43 : 433,261.87 = 178,010.52 : x
  2. Step 2: Convert to fraction form
    313,967.43/433,261.87 = 178,010.52/x
  3. Step 3: Cross multiply
    313,967.43x = 433,261.87 × 178,010.52
  4. Step 4: Simplify right side
    313,967.43x = 77,125,172,439.89
  5. Step 5: Solve for x
    x = 77,125,172,439.89/313,967.43
  6. Step 6: Final answer
    x = 245,647.05

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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.