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Finding the Fourth Proportional to 359,645.94, 496,327.59 and 206,733.78

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Solution

The fourth proportional to 359,645.94, 496,327.59 and 206,733.78 is: 285,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,645.94 : 496,327.59 = 206,733.78 : x
  2. Step 2: Convert to fraction form
    359,645.94/496,327.59 = 206,733.78/x
  3. Step 3: Cross multiply
    359,645.94x = 496,327.59 × 206,733.78
  4. Step 4: Simplify right side
    359,645.94x = 102,607,678,798.99
  5. Step 5: Solve for x
    x = 102,607,678,798.99/359,645.94
  6. Step 6: Final answer
    x = 285,301.92

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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.