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Finding the Fourth Proportional to 334,653.31, 461,688.01 and 213,763.24

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Solution

The fourth proportional to 334,653.31, 461,688.01 and 213,763.24 is: 294,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,653.31 : 461,688.01 = 213,763.24 : x
  2. Step 2: Convert to fraction form
    334,653.31/461,688.01 = 213,763.24/x
  3. Step 3: Cross multiply
    334,653.31x = 461,688.01 × 213,763.24
  4. Step 4: Simplify right side
    334,653.31x = 98,691,924,886.75
  5. Step 5: Solve for x
    x = 98,691,924,886.75/334,653.31
  6. Step 6: Final answer
    x = 294,907.96

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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.