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Finding the Fourth Proportional to 665,083.62, 917,964.89 and 435,507.56

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Solution

The fourth proportional to 665,083.62, 917,964.89 and 435,507.56 is: 601,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,083.62 : 917,964.89 = 435,507.56 : x
  2. Step 2: Convert to fraction form
    665,083.62/917,964.89 = 435,507.56/x
  3. Step 3: Cross multiply
    665,083.62x = 917,964.89 × 435,507.56
  4. Step 4: Simplify right side
    665,083.62x = 399,780,654,379.36
  5. Step 5: Solve for x
    x = 399,780,654,379.36/665,083.62
  6. Step 6: Final answer
    x = 601,098.33

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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.