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Finding the Fourth Proportional to 364,347.84, 502,793.28 and 203,216.16

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Solution

The fourth proportional to 364,347.84, 502,793.28 and 203,216.16 is: 280,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,347.84 : 502,793.28 = 203,216.16 : x
  2. Step 2: Convert to fraction form
    364,347.84/502,793.28 = 203,216.16/x
  3. Step 3: Cross multiply
    364,347.84x = 502,793.28 × 203,216.16
  4. Step 4: Simplify right side
    364,347.84x = 102,175,719,635.41
  5. Step 5: Solve for x
    x = 102,175,719,635.41/364,347.84
  6. Step 6: Final answer
    x = 280,434.54

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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.