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Finding the Fourth Proportional to 359,442, 496,029.96 and 200,466

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Solution

The fourth proportional to 359,442, 496,029.96 and 200,466 is: 276,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,442 : 496,029.96 = 200,466 : x
  2. Step 2: Convert to fraction form
    359,442/496,029.96 = 200,466/x
  3. Step 3: Cross multiply
    359,442x = 496,029.96 × 200,466
  4. Step 4: Simplify right side
    359,442x = 99,437,141,961.36
  5. Step 5: Solve for x
    x = 99,437,141,961.36/359,442
  6. Step 6: Final answer
    x = 276,643.08

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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.