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Finding the Fourth Proportional to 586,185.22, 878,818.50 and 231,464.76

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Solution

The fourth proportional to 586,185.22, 878,818.50 and 231,464.76 is: 347,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,185.22 : 878,818.50 = 231,464.76 : x
  2. Step 2: Convert to fraction form
    586,185.22/878,818.50 = 231,464.76/x
  3. Step 3: Cross multiply
    586,185.22x = 878,818.50 × 231,464.76
  4. Step 4: Simplify right side
    586,185.22x = 203,415,513,186.06
  5. Step 5: Solve for x
    x = 203,415,513,186.06/586,185.22
  6. Step 6: Final answer
    x = 347,015.77

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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.