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Finding the Fourth Proportional to 586,214.64, 878,731.20 and 231,091.20

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Solution

The fourth proportional to 586,214.64, 878,731.20 and 231,091.20 is: 346,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,214.64 : 878,731.20 = 231,091.20 : x
  2. Step 2: Convert to fraction form
    586,214.64/878,731.20 = 231,091.20/x
  3. Step 3: Cross multiply
    586,214.64x = 878,731.20 × 231,091.20
  4. Step 4: Simplify right side
    586,214.64x = 203,067,047,485.44
  5. Step 5: Solve for x
    x = 203,067,047,485.44/586,214.64
  6. Step 6: Final answer
    x = 346,403.92

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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.