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Finding the Fourth Proportional to 314,182.72, 471,306.80 and 100,896.72

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Solution

The fourth proportional to 314,182.72, 471,306.80 and 100,896.72 is: 151,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,182.72 : 471,306.80 = 100,896.72 : x
  2. Step 2: Convert to fraction form
    314,182.72/471,306.80 = 100,896.72/x
  3. Step 3: Cross multiply
    314,182.72x = 471,306.80 × 100,896.72
  4. Step 4: Simplify right side
    314,182.72x = 47,553,310,233.70
  5. Step 5: Solve for x
    x = 47,553,310,233.70/314,182.72
  6. Step 6: Final answer
    x = 151,355.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.