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Finding the Fourth Proportional to 531,106.92, 797,028.21 and 211,225.95

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Solution

The fourth proportional to 531,106.92, 797,028.21 and 211,225.95 is: 316,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,106.92 : 797,028.21 = 211,225.95 : x
  2. Step 2: Convert to fraction form
    531,106.92/797,028.21 = 211,225.95/x
  3. Step 3: Cross multiply
    531,106.92x = 797,028.21 × 211,225.95
  4. Step 4: Simplify right side
    531,106.92x = 168,353,040,834.05
  5. Step 5: Solve for x
    x = 168,353,040,834.05/531,106.92
  6. Step 6: Final answer
    x = 316,985.21

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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.