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Finding the Fourth Proportional to 280,434.56, 386,997.76 and 153,109.76

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Solution

The fourth proportional to 280,434.56, 386,997.76 and 153,109.76 is: 211,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434.56 : 386,997.76 = 153,109.76 : x
  2. Step 2: Convert to fraction form
    280,434.56/386,997.76 = 153,109.76/x
  3. Step 3: Cross multiply
    280,434.56x = 386,997.76 × 153,109.76
  4. Step 4: Simplify right side
    280,434.56x = 59,253,134,154.14
  5. Step 5: Solve for x
    x = 59,253,134,154.14/280,434.56
  6. Step 6: Final answer
    x = 211,290.41

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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.