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Finding the Fourth Proportional to 501,652.85, 692,235.11 and 297,668.66

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Solution

The fourth proportional to 501,652.85, 692,235.11 and 297,668.66 is: 410,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,652.85 : 692,235.11 = 297,668.66 : x
  2. Step 2: Convert to fraction form
    501,652.85/692,235.11 = 297,668.66/x
  3. Step 3: Cross multiply
    501,652.85x = 692,235.11 × 297,668.66
  4. Step 4: Simplify right side
    501,652.85x = 206,056,694,881.65
  5. Step 5: Solve for x
    x = 206,056,694,881.65/501,652.85
  6. Step 6: Final answer
    x = 410,755.56

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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.