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Finding the Fourth Proportional to 586,178.64, 878,677.20 and 231,055.20

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Solution

The fourth proportional to 586,178.64, 878,677.20 and 231,055.20 is: 346,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.64 : 878,677.20 = 231,055.20 : x
  2. Step 2: Convert to fraction form
    586,178.64/878,677.20 = 231,055.20/x
  3. Step 3: Cross multiply
    586,178.64x = 878,677.20 × 231,055.20
  4. Step 4: Simplify right side
    586,178.64x = 203,022,936,181.44
  5. Step 5: Solve for x
    x = 203,022,936,181.44/586,178.64
  6. Step 6: Final answer
    x = 346,349.94

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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.