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Finding the Fourth Proportional to 359,529.47, 496,134.07 and 206,459.98

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Solution

The fourth proportional to 359,529.47, 496,134.07 and 206,459.98 is: 284,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,529.47 : 496,134.07 = 206,459.98 : x
  2. Step 2: Convert to fraction form
    359,529.47/496,134.07 = 206,459.98/x
  3. Step 3: Cross multiply
    359,529.47x = 496,134.07 × 206,459.98
  4. Step 4: Simplify right side
    359,529.47x = 102,431,830,169.52
  5. Step 5: Solve for x
    x = 102,431,830,169.52/359,529.47
  6. Step 6: Final answer
    x = 284,905.24

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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.