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Finding the Fourth Proportional to 411,315.28, 567,644 and 230,044.06

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Solution

The fourth proportional to 411,315.28, 567,644 and 230,044.06 is: 317,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,315.28 : 567,644 = 230,044.06 : x
  2. Step 2: Convert to fraction form
    411,315.28/567,644 = 230,044.06/x
  3. Step 3: Cross multiply
    411,315.28x = 567,644 × 230,044.06
  4. Step 4: Simplify right side
    411,315.28x = 130,583,130,394.64
  5. Step 5: Solve for x
    x = 130,583,130,394.64/411,315.28
  6. Step 6: Final answer
    x = 317,476.97

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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.