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Finding the Fourth Proportional to 364,219.60, 502,629.28 and 200,894.86

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Solution

The fourth proportional to 364,219.60, 502,629.28 and 200,894.86 is: 277,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,219.60 : 502,629.28 = 200,894.86 : x
  2. Step 2: Convert to fraction form
    364,219.60/502,629.28 = 200,894.86/x
  3. Step 3: Cross multiply
    364,219.60x = 502,629.28 × 200,894.86
  4. Step 4: Simplify right side
    364,219.60x = 100,975,638,837.50
  5. Step 5: Solve for x
    x = 100,975,638,837.50/364,219.60
  6. Step 6: Final answer
    x = 277,238.34

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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.