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Finding the Fourth Proportional to 302,641.26, 417,732.03 and 202,330.86

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Solution

The fourth proportional to 302,641.26, 417,732.03 and 202,330.86 is: 279,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,641.26 : 417,732.03 = 202,330.86 : x
  2. Step 2: Convert to fraction form
    302,641.26/417,732.03 = 202,330.86/x
  3. Step 3: Cross multiply
    302,641.26x = 417,732.03 × 202,330.86
  4. Step 4: Simplify right side
    302,641.26x = 84,520,080,879.45
  5. Step 5: Solve for x
    x = 84,520,080,879.45/302,641.26
  6. Step 6: Final answer
    x = 279,274.81

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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.