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Finding the Fourth Proportional to 427,784.50, 590,342.60 and 236,797.88

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Solution

The fourth proportional to 427,784.50, 590,342.60 and 236,797.88 is: 326,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,784.50 : 590,342.60 = 236,797.88 : x
  2. Step 2: Convert to fraction form
    427,784.50/590,342.60 = 236,797.88/x
  3. Step 3: Cross multiply
    427,784.50x = 590,342.60 × 236,797.88
  4. Step 4: Simplify right side
    427,784.50x = 139,791,876,153.69
  5. Step 5: Solve for x
    x = 139,791,876,153.69/427,784.50
  6. Step 6: Final answer
    x = 326,781.07

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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.