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Finding the Fourth Proportional to 582,076.24, 873,114.59 and 261,854.08

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Solution

The fourth proportional to 582,076.24, 873,114.59 and 261,854.08 is: 392,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,076.24 : 873,114.59 = 261,854.08 : x
  2. Step 2: Convert to fraction form
    582,076.24/873,114.59 = 261,854.08/x
  3. Step 3: Cross multiply
    582,076.24x = 873,114.59 × 261,854.08
  4. Step 4: Simplify right side
    582,076.24x = 228,628,617,699.03
  5. Step 5: Solve for x
    x = 228,628,617,699.03/582,076.24
  6. Step 6: Final answer
    x = 392,781.22

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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.