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Finding the Fourth Proportional to 413,372.07, 619,816.78 and 160,356.91

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Solution

The fourth proportional to 413,372.07, 619,816.78 and 160,356.91 is: 240,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,372.07 : 619,816.78 = 160,356.91 : x
  2. Step 2: Convert to fraction form
    413,372.07/619,816.78 = 160,356.91/x
  3. Step 3: Cross multiply
    413,372.07x = 619,816.78 × 160,356.91
  4. Step 4: Simplify right side
    413,372.07x = 99,391,903,606.95
  5. Step 5: Solve for x
    x = 99,391,903,606.95/413,372.07
  6. Step 6: Final answer
    x = 240,441.75

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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.