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Finding the Fourth Proportional to 304,462.96, 420,018.70 and 197,067.50

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Solution

The fourth proportional to 304,462.96, 420,018.70 and 197,067.50 is: 271,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,462.96 : 420,018.70 = 197,067.50 : x
  2. Step 2: Convert to fraction form
    304,462.96/420,018.70 = 197,067.50/x
  3. Step 3: Cross multiply
    304,462.96x = 420,018.70 × 197,067.50
  4. Step 4: Simplify right side
    304,462.96x = 82,772,035,162.25
  5. Step 5: Solve for x
    x = 82,772,035,162.25/304,462.96
  6. Step 6: Final answer
    x = 271,862.41

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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.