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Finding the Fourth Proportional to 464,798.50, 641,421.94 and 263,594.50

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Solution

The fourth proportional to 464,798.50, 641,421.94 and 263,594.50 is: 363,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,798.50 : 641,421.94 = 263,594.50 : x
  2. Step 2: Convert to fraction form
    464,798.50/641,421.94 = 263,594.50/x
  3. Step 3: Cross multiply
    464,798.50x = 641,421.94 × 263,594.50
  4. Step 4: Simplify right side
    464,798.50x = 169,075,295,563.33
  5. Step 5: Solve for x
    x = 169,075,295,563.33/464,798.50
  6. Step 6: Final answer
    x = 363,760.42

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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.