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Finding the Fourth Proportional to 410,797.02, 566,897.22 and 229,507.59

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Solution

The fourth proportional to 410,797.02, 566,897.22 and 229,507.59 is: 316,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,797.02 : 566,897.22 = 229,507.59 : x
  2. Step 2: Convert to fraction form
    410,797.02/566,897.22 = 229,507.59/x
  3. Step 3: Cross multiply
    410,797.02x = 566,897.22 × 229,507.59
  4. Step 4: Simplify right side
    410,797.02x = 130,107,214,739.90
  5. Step 5: Solve for x
    x = 130,107,214,739.90/410,797.02
  6. Step 6: Final answer
    x = 316,718.98

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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.