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Finding the Fourth Proportional to 584,232.75, 806,241.20 and 414,762.12

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Solution

The fourth proportional to 584,232.75, 806,241.20 and 414,762.12 is: 572,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,232.75 : 806,241.20 = 414,762.12 : x
  2. Step 2: Convert to fraction form
    584,232.75/806,241.20 = 414,762.12/x
  3. Step 3: Cross multiply
    584,232.75x = 806,241.20 × 414,762.12
  4. Step 4: Simplify right side
    584,232.75x = 334,398,307,269.53
  5. Step 5: Solve for x
    x = 334,398,307,269.53/584,232.75
  6. Step 6: Final answer
    x = 572,371.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.