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Finding the Fourth Proportional to 364,404.36, 502,878.78 and 203,255.26

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Solution

The fourth proportional to 364,404.36, 502,878.78 and 203,255.26 is: 280,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,404.36 : 502,878.78 = 203,255.26 : x
  2. Step 2: Convert to fraction form
    364,404.36/502,878.78 = 203,255.26/x
  3. Step 3: Cross multiply
    364,404.36x = 502,878.78 × 203,255.26
  4. Step 4: Simplify right side
    364,404.36x = 102,212,757,177.38
  5. Step 5: Solve for x
    x = 102,212,757,177.38/364,404.36
  6. Step 6: Final answer
    x = 280,492.68

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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.