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Finding the Fourth Proportional to 233,018.70, 346,737.14 and 232,231.38

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Solution

The fourth proportional to 233,018.70, 346,737.14 and 232,231.38 is: 345,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,018.70 : 346,737.14 = 232,231.38 : x
  2. Step 2: Convert to fraction form
    233,018.70/346,737.14 = 232,231.38/x
  3. Step 3: Cross multiply
    233,018.70x = 346,737.14 × 232,231.38
  4. Step 4: Simplify right side
    233,018.70x = 80,523,243,358.30
  5. Step 5: Solve for x
    x = 80,523,243,358.30/233,018.70
  6. Step 6: Final answer
    x = 345,565.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.