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Finding the Fourth Proportional to 453,206.16, 679,853.62 and 165,096.09

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Solution

The fourth proportional to 453,206.16, 679,853.62 and 165,096.09 is: 247,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,206.16 : 679,853.62 = 165,096.09 : x
  2. Step 2: Convert to fraction form
    453,206.16/679,853.62 = 165,096.09/x
  3. Step 3: Cross multiply
    453,206.16x = 679,853.62 × 165,096.09
  4. Step 4: Simplify right side
    453,206.16x = 112,241,174,434.35
  5. Step 5: Solve for x
    x = 112,241,174,434.35/453,206.16
  6. Step 6: Final answer
    x = 247,660.30

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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.