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Finding the Fourth Proportional to 410,598.72, 566,682.48 and 229,321.80

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Solution

The fourth proportional to 410,598.72, 566,682.48 and 229,321.80 is: 316,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,598.72 : 566,682.48 = 229,321.80 : x
  2. Step 2: Convert to fraction form
    410,598.72/566,682.48 = 229,321.80/x
  3. Step 3: Cross multiply
    410,598.72x = 566,682.48 × 229,321.80
  4. Step 4: Simplify right side
    410,598.72x = 129,952,646,342.06
  5. Step 5: Solve for x
    x = 129,952,646,342.06/410,598.72
  6. Step 6: Final answer
    x = 316,495.50

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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.