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Finding the Fourth Proportional to 469,681.38, 703,588.95 and 258,796.26

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Solution

The fourth proportional to 469,681.38, 703,588.95 and 258,796.26 is: 387,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,681.38 : 703,588.95 = 258,796.26 : x
  2. Step 2: Convert to fraction form
    469,681.38/703,588.95 = 258,796.26/x
  3. Step 3: Cross multiply
    469,681.38x = 703,588.95 × 258,796.26
  4. Step 4: Simplify right side
    469,681.38x = 182,086,188,837.33
  5. Step 5: Solve for x
    x = 182,086,188,837.33/469,681.38
  6. Step 6: Final answer
    x = 387,680.24

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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.