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Finding the Fourth Proportional to 334,142.46, 461,075.22 and 213,354.45

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Solution

The fourth proportional to 334,142.46, 461,075.22 and 213,354.45 is: 294,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,142.46 : 461,075.22 = 213,354.45 : x
  2. Step 2: Convert to fraction form
    334,142.46/461,075.22 = 213,354.45/x
  3. Step 3: Cross multiply
    334,142.46x = 461,075.22 × 213,354.45
  4. Step 4: Simplify right side
    334,142.46x = 98,372,449,971.73
  5. Step 5: Solve for x
    x = 98,372,449,971.73/334,142.46
  6. Step 6: Final answer
    x = 294,402.72

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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.