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Finding the Fourth Proportional to 227,358.10, 340,943.31 and 77,610.46

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Solution

The fourth proportional to 227,358.10, 340,943.31 and 77,610.46 is: 116,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,358.10 : 340,943.31 = 77,610.46 : x
  2. Step 2: Convert to fraction form
    227,358.10/340,943.31 = 77,610.46/x
  3. Step 3: Cross multiply
    227,358.10x = 340,943.31 × 77,610.46
  4. Step 4: Simplify right side
    227,358.10x = 26,460,767,123.02
  5. Step 5: Solve for x
    x = 26,460,767,123.02/227,358.10
  6. Step 6: Final answer
    x = 116,383.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.