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Finding the Fourth Proportional to 410,850.16, 566,962.60 and 229,563.60

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Solution

The fourth proportional to 410,850.16, 566,962.60 and 229,563.60 is: 316,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,850.16 : 566,962.60 = 229,563.60 : x
  2. Step 2: Convert to fraction form
    410,850.16/566,962.60 = 229,563.60/x
  3. Step 3: Cross multiply
    410,850.16x = 566,962.60 × 229,563.60
  4. Step 4: Simplify right side
    410,850.16x = 130,153,975,521.36
  5. Step 5: Solve for x
    x = 130,153,975,521.36/410,850.16
  6. Step 6: Final answer
    x = 316,791.83

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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.