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Finding the Fourth Proportional to 609,781, 841,497.78 and 341,509

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Solution

The fourth proportional to 609,781, 841,497.78 and 341,509 is: 471,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,781 : 841,497.78 = 341,509 : x
  2. Step 2: Convert to fraction form
    609,781/841,497.78 = 341,509/x
  3. Step 3: Cross multiply
    609,781x = 841,497.78 × 341,509
  4. Step 4: Simplify right side
    609,781x = 287,379,065,350.02
  5. Step 5: Solve for x
    x = 287,379,065,350.02/609,781
  6. Step 6: Final answer
    x = 471,282.42

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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.