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Finding the Fourth Proportional to 359,950.86, 496,828.26 and 207,005.76

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Solution

The fourth proportional to 359,950.86, 496,828.26 and 207,005.76 is: 285,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,950.86 : 496,828.26 = 207,005.76 : x
  2. Step 2: Convert to fraction form
    359,950.86/496,828.26 = 207,005.76/x
  3. Step 3: Cross multiply
    359,950.86x = 496,828.26 × 207,005.76
  4. Step 4: Simplify right side
    359,950.86x = 102,846,311,550.78
  5. Step 5: Solve for x
    x = 102,846,311,550.78/359,950.86
  6. Step 6: Final answer
    x = 285,723.20

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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.