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Finding the Fourth Proportional to 397,443.48, 596,362.39 and 157,552.30

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Solution

The fourth proportional to 397,443.48, 596,362.39 and 157,552.30 is: 236,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,443.48 : 596,362.39 = 157,552.30 : x
  2. Step 2: Convert to fraction form
    397,443.48/596,362.39 = 157,552.30/x
  3. Step 3: Cross multiply
    397,443.48x = 596,362.39 × 157,552.30
  4. Step 4: Simplify right side
    397,443.48x = 93,958,266,529.57
  5. Step 5: Solve for x
    x = 93,958,266,529.57/397,443.48
  6. Step 6: Final answer
    x = 236,406.61

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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.