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Finding the Fourth Proportional to 276,825.39, 415,238.11 and 158,413

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Solution

The fourth proportional to 276,825.39, 415,238.11 and 158,413 is: 237,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,825.39 : 415,238.11 = 158,413 : x
  2. Step 2: Convert to fraction form
    276,825.39/415,238.11 = 158,413/x
  3. Step 3: Cross multiply
    276,825.39x = 415,238.11 × 158,413
  4. Step 4: Simplify right side
    276,825.39x = 65,779,114,719.43
  5. Step 5: Solve for x
    x = 65,779,114,719.43/276,825.39
  6. Step 6: Final answer
    x = 237,619.51

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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.