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Finding the Fourth Proportional to 364,398.34, 502,868.37 and 203,253.24

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Solution

The fourth proportional to 364,398.34, 502,868.37 and 203,253.24 is: 280,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,398.34 : 502,868.37 = 203,253.24 : x
  2. Step 2: Convert to fraction form
    364,398.34/502,868.37 = 203,253.24/x
  3. Step 3: Cross multiply
    364,398.34x = 502,868.37 × 203,253.24
  4. Step 4: Simplify right side
    364,398.34x = 102,209,625,496.02
  5. Step 5: Solve for x
    x = 102,209,625,496.02/364,398.34
  6. Step 6: Final answer
    x = 280,488.72

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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.