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Finding the Fourth Proportional to 447,712.38, 617,886.63 and 334,338.30

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Solution

The fourth proportional to 447,712.38, 617,886.63 and 334,338.30 is: 461,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,712.38 : 617,886.63 = 334,338.30 : x
  2. Step 2: Convert to fraction form
    447,712.38/617,886.63 = 334,338.30/x
  3. Step 3: Cross multiply
    447,712.38x = 617,886.63 × 334,338.30
  4. Step 4: Simplify right side
    447,712.38x = 206,583,165,466.93
  5. Step 5: Solve for x
    x = 206,583,165,466.93/447,712.38
  6. Step 6: Final answer
    x = 461,419.37

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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.