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Finding the Fourth Proportional to 386,007.42, 578,813.67 and 161,306.52

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Solution

The fourth proportional to 386,007.42, 578,813.67 and 161,306.52 is: 241,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,007.42 : 578,813.67 = 161,306.52 : x
  2. Step 2: Convert to fraction form
    386,007.42/578,813.67 = 161,306.52/x
  3. Step 3: Cross multiply
    386,007.42x = 578,813.67 × 161,306.52
  4. Step 4: Simplify right side
    386,007.42x = 93,366,418,836.13
  5. Step 5: Solve for x
    x = 93,366,418,836.13/386,007.42
  6. Step 6: Final answer
    x = 241,877.26

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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.