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Finding the Fourth Proportional to 411,122.79, 567,353.66 and 229,844.79

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Solution

The fourth proportional to 411,122.79, 567,353.66 and 229,844.79 is: 317,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,122.79 : 567,353.66 = 229,844.79 : x
  2. Step 2: Convert to fraction form
    411,122.79/567,353.66 = 229,844.79/x
  3. Step 3: Cross multiply
    411,122.79x = 567,353.66 × 229,844.79
  4. Step 4: Simplify right side
    411,122.79x = 130,403,282,838.43
  5. Step 5: Solve for x
    x = 130,403,282,838.43/411,122.79
  6. Step 6: Final answer
    x = 317,188.16

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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.