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Finding the Fourth Proportional to 464,795.50, 641,417.80 and 263,591.50

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Solution

The fourth proportional to 464,795.50, 641,417.80 and 263,591.50 is: 363,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,795.50 : 641,417.80 = 263,591.50 : x
  2. Step 2: Convert to fraction form
    464,795.50/641,417.80 = 263,591.50/x
  3. Step 3: Cross multiply
    464,795.50x = 641,417.80 × 263,591.50
  4. Step 4: Simplify right side
    464,795.50x = 169,072,280,028.70
  5. Step 5: Solve for x
    x = 169,072,280,028.70/464,795.50
  6. Step 6: Final answer
    x = 363,756.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.