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Finding the Fourth Proportional to 384,056.64, 529,833.60 and 232,891.20

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Solution

The fourth proportional to 384,056.64, 529,833.60 and 232,891.20 is: 321,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,056.64 : 529,833.60 = 232,891.20 : x
  2. Step 2: Convert to fraction form
    384,056.64/529,833.60 = 232,891.20/x
  3. Step 3: Cross multiply
    384,056.64x = 529,833.60 × 232,891.20
  4. Step 4: Simplify right side
    384,056.64x = 123,393,582,904.32
  5. Step 5: Solve for x
    x = 123,393,582,904.32/384,056.64
  6. Step 6: Final answer
    x = 321,290.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.