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Finding the Fourth Proportional to 413,243.78, 570,204.36 and 231,963.35

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Solution

The fourth proportional to 413,243.78, 570,204.36 and 231,963.35 is: 320,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,243.78 : 570,204.36 = 231,963.35 : x
  2. Step 2: Convert to fraction form
    413,243.78/570,204.36 = 231,963.35/x
  3. Step 3: Cross multiply
    413,243.78x = 570,204.36 × 231,963.35
  4. Step 4: Simplify right side
    413,243.78x = 132,266,510,679.18
  5. Step 5: Solve for x
    x = 132,266,510,679.18/413,243.78
  6. Step 6: Final answer
    x = 320,068.97

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1.5x scale

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.