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Finding the Fourth Proportional to 359,829.84, 496,571.34 and 232,726.87

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Solution

The fourth proportional to 359,829.84, 496,571.34 and 232,726.87 is: 321,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,829.84 : 496,571.34 = 232,726.87 : x
  2. Step 2: Convert to fraction form
    359,829.84/496,571.34 = 232,726.87/x
  3. Step 3: Cross multiply
    359,829.84x = 496,571.34 × 232,726.87
  4. Step 4: Simplify right side
    359,829.84x = 115,565,493,219.71
  5. Step 5: Solve for x
    x = 115,565,493,219.71/359,829.84
  6. Step 6: Final answer
    x = 321,167.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.