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Finding the Fourth Proportional to 359,858, 496,647.78 and 208,955

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Solution

The fourth proportional to 359,858, 496,647.78 and 208,955 is: 288,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,858 : 496,647.78 = 208,955 : x
  2. Step 2: Convert to fraction form
    359,858/496,647.78 = 208,955/x
  3. Step 3: Cross multiply
    359,858x = 496,647.78 × 208,955
  4. Step 4: Simplify right side
    359,858x = 103,777,036,869.90
  5. Step 5: Solve for x
    x = 103,777,036,869.90/359,858
  6. Step 6: Final answer
    x = 288,383.30

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