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Finding the Fourth Proportional to 364,301.06, 502,737.54 and 203,162.90

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Solution

The fourth proportional to 364,301.06, 502,737.54 and 203,162.90 is: 280,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,301.06 : 502,737.54 = 203,162.90 : x
  2. Step 2: Convert to fraction form
    364,301.06/502,737.54 = 203,162.90/x
  3. Step 3: Cross multiply
    364,301.06x = 502,737.54 × 203,162.90
  4. Step 4: Simplify right side
    364,301.06x = 102,137,616,565.27
  5. Step 5: Solve for x
    x = 102,137,616,565.27/364,301.06
  6. Step 6: Final answer
    x = 280,365.96

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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.