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Finding the Fourth Proportional to 406,548.70, 610,381.64 and 207,003.17

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Solution

The fourth proportional to 406,548.70, 610,381.64 and 207,003.17 is: 310,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,548.70 : 610,381.64 = 207,003.17 : x
  2. Step 2: Convert to fraction form
    406,548.70/610,381.64 = 207,003.17/x
  3. Step 3: Cross multiply
    406,548.70x = 610,381.64 × 207,003.17
  4. Step 4: Simplify right side
    406,548.70x = 126,350,936,433.26
  5. Step 5: Solve for x
    x = 126,350,936,433.26/406,548.70
  6. Step 6: Final answer
    x = 310,789.18

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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.