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Finding the Fourth Proportional to 409,642.28, 565,548.54 and 364,194.46

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Solution

The fourth proportional to 409,642.28, 565,548.54 and 364,194.46 is: 502,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,642.28 : 565,548.54 = 364,194.46 : x
  2. Step 2: Convert to fraction form
    409,642.28/565,548.54 = 364,194.46/x
  3. Step 3: Cross multiply
    409,642.28x = 565,548.54 × 364,194.46
  4. Step 4: Simplify right side
    409,642.28x = 205,969,645,129.09
  5. Step 5: Solve for x
    x = 205,969,645,129.09/409,642.28
  6. Step 6: Final answer
    x = 502,803.68

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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.