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Finding the Fourth Proportional to 332,165.05, 497,498.47 and 154,297.76

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Solution

The fourth proportional to 332,165.05, 497,498.47 and 154,297.76 is: 231,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,165.05 : 497,498.47 = 154,297.76 : x
  2. Step 2: Convert to fraction form
    332,165.05/497,498.47 = 154,297.76/x
  3. Step 3: Cross multiply
    332,165.05x = 497,498.47 × 154,297.76
  4. Step 4: Simplify right side
    332,165.05x = 76,762,897,036.93
  5. Step 5: Solve for x
    x = 76,762,897,036.93/332,165.05
  6. Step 6: Final answer
    x = 231,098.66

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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.