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Finding the Fourth Proportional to 531,103.92, 797,023.71 and 211,222.95

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Solution

The fourth proportional to 531,103.92, 797,023.71 and 211,222.95 is: 316,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,103.92 : 797,023.71 = 211,222.95 : x
  2. Step 2: Convert to fraction form
    531,103.92/797,023.71 = 211,222.95/x
  3. Step 3: Cross multiply
    531,103.92x = 797,023.71 × 211,222.95
  4. Step 4: Simplify right side
    531,103.92x = 168,349,699,246.15
  5. Step 5: Solve for x
    x = 168,349,699,246.15/531,103.92
  6. Step 6: Final answer
    x = 316,980.71

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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.