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Finding the Fourth Proportional to 586,184.22, 878,817.00 and 231,463.76

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Solution

The fourth proportional to 586,184.22, 878,817.00 and 231,463.76 is: 347,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,184.22 : 878,817.00 = 231,463.76 : x
  2. Step 2: Convert to fraction form
    586,184.22/878,817.00 = 231,463.76/x
  3. Step 3: Cross multiply
    586,184.22x = 878,817.00 × 231,463.76
  4. Step 4: Simplify right side
    586,184.22x = 203,414,283,645.82
  5. Step 5: Solve for x
    x = 203,414,283,645.82/586,184.22
  6. Step 6: Final answer
    x = 347,014.26

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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.