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Finding the Fourth Proportional to 547,293.90, 820,940.85 and 509,969.10

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Solution

The fourth proportional to 547,293.90, 820,940.85 and 509,969.10 is: 764,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,293.90 : 820,940.85 = 509,969.10 : x
  2. Step 2: Convert to fraction form
    547,293.90/820,940.85 = 509,969.10/x
  3. Step 3: Cross multiply
    547,293.90x = 820,940.85 × 509,969.10
  4. Step 4: Simplify right side
    547,293.90x = 418,654,466,427.74
  5. Step 5: Solve for x
    x = 418,654,466,427.74/547,293.90
  6. Step 6: Final answer
    x = 764,953.65

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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.