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Finding the Fourth Proportional to 575,698, 863,120.52 and 275,893.11

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Solution

The fourth proportional to 575,698, 863,120.52 and 275,893.11 is: 413,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,698 : 863,120.52 = 275,893.11 : x
  2. Step 2: Convert to fraction form
    575,698/863,120.52 = 275,893.11/x
  3. Step 3: Cross multiply
    575,698x = 863,120.52 × 275,893.11
  4. Step 4: Simplify right side
    575,698x = 238,129,004,567.62
  5. Step 5: Solve for x
    x = 238,129,004,567.62/575,698
  6. Step 6: Final answer
    x = 413,635.28

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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.