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Finding the Fourth Proportional to 364,059.05, 502,403.82 and 202,924.31

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Solution

The fourth proportional to 364,059.05, 502,403.82 and 202,924.31 is: 280,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,059.05 : 502,403.82 = 202,924.31 : x
  2. Step 2: Convert to fraction form
    364,059.05/502,403.82 = 202,924.31/x
  3. Step 3: Cross multiply
    364,059.05x = 502,403.82 × 202,924.31
  4. Step 4: Simplify right side
    364,059.05x = 101,949,948,514.86
  5. Step 5: Solve for x
    x = 101,949,948,514.86/364,059.05
  6. Step 6: Final answer
    x = 280,036.85

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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.