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Finding the Fourth Proportional to 410,705.01, 566,735.97 and 229,391.77

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Solution

The fourth proportional to 410,705.01, 566,735.97 and 229,391.77 is: 316,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,705.01 : 566,735.97 = 229,391.77 : x
  2. Step 2: Convert to fraction form
    410,705.01/566,735.97 = 229,391.77/x
  3. Step 3: Cross multiply
    410,705.01x = 566,735.97 × 229,391.77
  4. Step 4: Simplify right side
    410,705.01x = 130,004,567,280.97
  5. Step 5: Solve for x
    x = 130,004,567,280.97/410,705.01
  6. Step 6: Final answer
    x = 316,540.01

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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.