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Finding the Fourth Proportional to 413,046.81, 619,601.00 and 160,534.17

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Solution

The fourth proportional to 413,046.81, 619,601.00 and 160,534.17 is: 240,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,046.81 : 619,601.00 = 160,534.17 : x
  2. Step 2: Convert to fraction form
    413,046.81/619,601.00 = 160,534.17/x
  3. Step 3: Cross multiply
    413,046.81x = 619,601.00 × 160,534.17
  4. Step 4: Simplify right side
    413,046.81x = 99,467,131,463.50
  5. Step 5: Solve for x
    x = 99,467,131,463.50/413,046.81
  6. Step 6: Final answer
    x = 240,813.22

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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.