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Finding the Fourth Proportional to 364,195.58, 502,598.73 and 200,854.46

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Solution

The fourth proportional to 364,195.58, 502,598.73 and 200,854.46 is: 277,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,195.58 : 502,598.73 = 200,854.46 : x
  2. Step 2: Convert to fraction form
    364,195.58/502,598.73 = 200,854.46/x
  3. Step 3: Cross multiply
    364,195.58x = 502,598.73 × 200,854.46
  4. Step 4: Simplify right side
    364,195.58x = 100,949,193,997.84
  5. Step 5: Solve for x
    x = 100,949,193,997.84/364,195.58
  6. Step 6: Final answer
    x = 277,184.02

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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.