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Finding the Fourth Proportional to 334,791, 462,191.49 and 258,142.12

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Solution

The fourth proportional to 334,791, 462,191.49 and 258,142.12 is: 356,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,791 : 462,191.49 = 258,142.12 : x
  2. Step 2: Convert to fraction form
    334,791/462,191.49 = 258,142.12/x
  3. Step 3: Cross multiply
    334,791x = 462,191.49 × 258,142.12
  4. Step 4: Simplify right side
    334,791x = 119,311,091,074.56
  5. Step 5: Solve for x
    x = 119,311,091,074.56/334,791
  6. Step 6: Final answer
    x = 356,374.85

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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.