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Finding the Fourth Proportional to 334,700.88, 461,773.17 and 213,911.85

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Solution

The fourth proportional to 334,700.88, 461,773.17 and 213,911.85 is: 295,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,700.88 : 461,773.17 = 213,911.85 : x
  2. Step 2: Convert to fraction form
    334,700.88/461,773.17 = 213,911.85/x
  3. Step 3: Cross multiply
    334,700.88x = 461,773.17 × 213,911.85
  4. Step 4: Simplify right side
    334,700.88x = 98,778,753,075.06
  5. Step 5: Solve for x
    x = 98,778,753,075.06/334,700.88
  6. Step 6: Final answer
    x = 295,125.47

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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.