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Finding the Fourth Proportional to 314,347.08, 433,786.89 and 178,372.92

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Solution

The fourth proportional to 314,347.08, 433,786.89 and 178,372.92 is: 246,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,347.08 : 433,786.89 = 178,372.92 : x
  2. Step 2: Convert to fraction form
    314,347.08/433,786.89 = 178,372.92/x
  3. Step 3: Cross multiply
    314,347.08x = 433,786.89 × 178,372.92
  4. Step 4: Simplify right side
    314,347.08x = 77,375,834,227.02
  5. Step 5: Solve for x
    x = 77,375,834,227.02/314,347.08
  6. Step 6: Final answer
    x = 246,147.77

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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.