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Finding the Fourth Proportional to 501,069.48, 691,504.16 and 297,241.08

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Solution

The fourth proportional to 501,069.48, 691,504.16 and 297,241.08 is: 410,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,069.48 : 691,504.16 = 297,241.08 : x
  2. Step 2: Convert to fraction form
    501,069.48/691,504.16 = 297,241.08/x
  3. Step 3: Cross multiply
    501,069.48x = 691,504.16 × 297,241.08
  4. Step 4: Simplify right side
    501,069.48x = 205,543,443,342.89
  5. Step 5: Solve for x
    x = 205,543,443,342.89/501,069.48
  6. Step 6: Final answer
    x = 410,209.47

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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.