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Finding the Fourth Proportional to 359,472, 496,071.36 and 200,496

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Solution

The fourth proportional to 359,472, 496,071.36 and 200,496 is: 276,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,472 : 496,071.36 = 200,496 : x
  2. Step 2: Convert to fraction form
    359,472/496,071.36 = 200,496/x
  3. Step 3: Cross multiply
    359,472x = 496,071.36 × 200,496
  4. Step 4: Simplify right side
    359,472x = 99,460,323,394.56
  5. Step 5: Solve for x
    x = 99,460,323,394.56/359,472
  6. Step 6: Final answer
    x = 276,684.48

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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.