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Finding the Fourth Proportional to 338,446.82, 507,501.20 and 110,712.71

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Solution

The fourth proportional to 338,446.82, 507,501.20 and 110,712.71 is: 166,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,446.82 : 507,501.20 = 110,712.71 : x
  2. Step 2: Convert to fraction form
    338,446.82/507,501.20 = 110,712.71/x
  3. Step 3: Cross multiply
    338,446.82x = 507,501.20 × 110,712.71
  4. Step 4: Simplify right side
    338,446.82x = 56,186,834,725.79
  5. Step 5: Solve for x
    x = 56,186,834,725.79/338,446.82
  6. Step 6: Final answer
    x = 166,013.78

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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.