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Finding the Fourth Proportional to 334,727.65, 461,753.35 and 213,741.73

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Solution

The fourth proportional to 334,727.65, 461,753.35 and 213,741.73 is: 294,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,727.65 : 461,753.35 = 213,741.73 : x
  2. Step 2: Convert to fraction form
    334,727.65/461,753.35 = 213,741.73/x
  3. Step 3: Cross multiply
    334,727.65x = 461,753.35 × 213,741.73
  4. Step 4: Simplify right side
    334,727.65x = 98,695,959,862.30
  5. Step 5: Solve for x
    x = 98,695,959,862.30/334,727.65
  6. Step 6: Final answer
    x = 294,854.52

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1.5x scale

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.