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Finding the Fourth Proportional to 410,710.91, 566,778.63 and 229,422.27

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Solution

The fourth proportional to 410,710.91, 566,778.63 and 229,422.27 is: 316,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,710.91 : 566,778.63 = 229,422.27 : x
  2. Step 2: Convert to fraction form
    410,710.91/566,778.63 = 229,422.27/x
  3. Step 3: Cross multiply
    410,710.91x = 566,778.63 × 229,422.27
  4. Step 4: Simplify right side
    410,710.91x = 130,031,642,867.84
  5. Step 5: Solve for x
    x = 130,031,642,867.84/410,710.91
  6. Step 6: Final answer
    x = 316,601.39

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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.