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Finding the Fourth Proportional to 364,188.24, 502,581.88 and 203,053.32

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Solution

The fourth proportional to 364,188.24, 502,581.88 and 203,053.32 is: 280,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,188.24 : 502,581.88 = 203,053.32 : x
  2. Step 2: Convert to fraction form
    364,188.24/502,581.88 = 203,053.32/x
  3. Step 3: Cross multiply
    364,188.24x = 502,581.88 × 203,053.32
  4. Step 4: Simplify right side
    364,188.24x = 102,050,918,290.58
  5. Step 5: Solve for x
    x = 102,050,918,290.58/364,188.24
  6. Step 6: Final answer
    x = 280,214.75

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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.