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Finding the Fourth Proportional to 334,672.92, 461,686.50 and 221,590.44

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Solution

The fourth proportional to 334,672.92, 461,686.50 and 221,590.44 is: 305,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,672.92 : 461,686.50 = 221,590.44 : x
  2. Step 2: Convert to fraction form
    334,672.92/461,686.50 = 221,590.44/x
  3. Step 3: Cross multiply
    334,672.92x = 461,686.50 × 221,590.44
  4. Step 4: Simplify right side
    334,672.92x = 102,305,314,677.06
  5. Step 5: Solve for x
    x = 102,305,314,677.06/334,672.92
  6. Step 6: Final answer
    x = 305,687.46

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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.