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Finding the Fourth Proportional to 397,076.84, 595,726.43 and 160,585.59

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Solution

The fourth proportional to 397,076.84, 595,726.43 and 160,585.59 is: 240,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,076.84 : 595,726.43 = 160,585.59 : x
  2. Step 2: Convert to fraction form
    397,076.84/595,726.43 = 160,585.59/x
  3. Step 3: Cross multiply
    397,076.84x = 595,726.43 × 160,585.59
  4. Step 4: Simplify right side
    397,076.84x = 95,665,079,437.22
  5. Step 5: Solve for x
    x = 95,665,079,437.22/397,076.84
  6. Step 6: Final answer
    x = 240,923.35

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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.