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Finding the Fourth Proportional to 508,546.44, 762,856.14 and 134,565

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Solution

The fourth proportional to 508,546.44, 762,856.14 and 134,565 is: 201,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,546.44 : 762,856.14 = 134,565 : x
  2. Step 2: Convert to fraction form
    508,546.44/762,856.14 = 134,565/x
  3. Step 3: Cross multiply
    508,546.44x = 762,856.14 × 134,565
  4. Step 4: Simplify right side
    508,546.44x = 102,653,736,479.10
  5. Step 5: Solve for x
    x = 102,653,736,479.10/508,546.44
  6. Step 6: Final answer
    x = 201,857.15

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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.