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Finding the Fourth Proportional to 546,537.34, 819,911.08 and 209,551.71

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Solution

The fourth proportional to 546,537.34, 819,911.08 and 209,551.71 is: 314,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,537.34 : 819,911.08 = 209,551.71 : x
  2. Step 2: Convert to fraction form
    546,537.34/819,911.08 = 209,551.71/x
  3. Step 3: Cross multiply
    546,537.34x = 819,911.08 × 209,551.71
  4. Step 4: Simplify right side
    546,537.34x = 171,813,768,861.95
  5. Step 5: Solve for x
    x = 171,813,768,861.95/546,537.34
  6. Step 6: Final answer
    x = 314,367.85

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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.