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Finding the Fourth Proportional to 413,422.88, 570,551.76 and 229,682.98

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Solution

The fourth proportional to 413,422.88, 570,551.76 and 229,682.98 is: 316,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,422.88 : 570,551.76 = 229,682.98 : x
  2. Step 2: Convert to fraction form
    413,422.88/570,551.76 = 229,682.98/x
  3. Step 3: Cross multiply
    413,422.88x = 570,551.76 × 229,682.98
  4. Step 4: Simplify right side
    413,422.88x = 131,046,028,481.05
  5. Step 5: Solve for x
    x = 131,046,028,481.05/413,422.88
  6. Step 6: Final answer
    x = 316,978.17

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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.