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Finding the Fourth Proportional to 501,649.48, 692,230.56 and 297,665.25

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Solution

The fourth proportional to 501,649.48, 692,230.56 and 297,665.25 is: 410,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,649.48 : 692,230.56 = 297,665.25 : x
  2. Step 2: Convert to fraction form
    501,649.48/692,230.56 = 297,665.25/x
  3. Step 3: Cross multiply
    501,649.48x = 692,230.56 × 297,665.25
  4. Step 4: Simplify right side
    501,649.48x = 206,052,982,700.04
  5. Step 5: Solve for x
    x = 206,052,982,700.04/501,649.48
  6. Step 6: Final answer
    x = 410,750.91

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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.