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Finding the Fourth Proportional to 538,892.82, 808,339.17 and 302,253.95

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Solution

The fourth proportional to 538,892.82, 808,339.17 and 302,253.95 is: 453,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,892.82 : 808,339.17 = 302,253.95 : x
  2. Step 2: Convert to fraction form
    538,892.82/808,339.17 = 302,253.95/x
  3. Step 3: Cross multiply
    538,892.82x = 808,339.17 × 302,253.95
  4. Step 4: Simplify right side
    538,892.82x = 244,323,709,093.07
  5. Step 5: Solve for x
    x = 244,323,709,093.07/538,892.82
  6. Step 6: Final answer
    x = 453,380.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.