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Finding the Fourth Proportional to 414,314.34, 571,832.26 and 259,337.50

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Solution

The fourth proportional to 414,314.34, 571,832.26 and 259,337.50 is: 357,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,314.34 : 571,832.26 = 259,337.50 : x
  2. Step 2: Convert to fraction form
    414,314.34/571,832.26 = 259,337.50/x
  3. Step 3: Cross multiply
    414,314.34x = 571,832.26 × 259,337.50
  4. Step 4: Simplify right side
    414,314.34x = 148,297,548,727.75
  5. Step 5: Solve for x
    x = 148,297,548,727.75/414,314.34
  6. Step 6: Final answer
    x = 357,934.87

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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.