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Finding the Fourth Proportional to 359,657, 496,326.66 and 200,681

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Solution

The fourth proportional to 359,657, 496,326.66 and 200,681 is: 276,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,657 : 496,326.66 = 200,681 : x
  2. Step 2: Convert to fraction form
    359,657/496,326.66 = 200,681/x
  3. Step 3: Cross multiply
    359,657x = 496,326.66 × 200,681
  4. Step 4: Simplify right side
    359,657x = 99,603,330,455.46
  5. Step 5: Solve for x
    x = 99,603,330,455.46/359,657
  6. Step 6: Final answer
    x = 276,939.78

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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.