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Finding the Fourth Proportional to 364,298.16, 502,734.12 and 203,163.60

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Solution

The fourth proportional to 364,298.16, 502,734.12 and 203,163.60 is: 280,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,298.16 : 502,734.12 = 203,163.60 : x
  2. Step 2: Convert to fraction form
    364,298.16/502,734.12 = 203,163.60/x
  3. Step 3: Cross multiply
    364,298.16x = 502,734.12 × 203,163.60
  4. Step 4: Simplify right side
    364,298.16x = 102,137,273,662.03
  5. Step 5: Solve for x
    x = 102,137,273,662.03/364,298.16
  6. Step 6: Final answer
    x = 280,367.25

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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.