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Finding the Fourth Proportional to 364,408.36, 502,884.28 and 203,259.24

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Solution

The fourth proportional to 364,408.36, 502,884.28 and 203,259.24 is: 280,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,408.36 : 502,884.28 = 203,259.24 : x
  2. Step 2: Convert to fraction form
    364,408.36/502,884.28 = 203,259.24/x
  3. Step 3: Cross multiply
    364,408.36x = 502,884.28 × 203,259.24
  4. Step 4: Simplify right side
    364,408.36x = 102,215,876,560.75
  5. Step 5: Solve for x
    x = 102,215,876,560.75/364,408.36
  6. Step 6: Final answer
    x = 280,498.17

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1.5x scale

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.