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Finding the Fourth Proportional to 413,803.36, 571,030.41 and 241,737.27

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Solution

The fourth proportional to 413,803.36, 571,030.41 and 241,737.27 is: 333,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,803.36 : 571,030.41 = 241,737.27 : x
  2. Step 2: Convert to fraction form
    413,803.36/571,030.41 = 241,737.27/x
  3. Step 3: Cross multiply
    413,803.36x = 571,030.41 × 241,737.27
  4. Step 4: Simplify right side
    413,803.36x = 138,039,332,400.38
  5. Step 5: Solve for x
    x = 138,039,332,400.38/413,803.36
  6. Step 6: Final answer
    x = 333,586.78

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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.