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Finding the Fourth Proportional to 941,796.50, 1,412,663.16 and 409,317.48

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Solution

The fourth proportional to 941,796.50, 1,412,663.16 and 409,317.48 is: 613,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,796.50 : 1,412,663.16 = 409,317.48 : x
  2. Step 2: Convert to fraction form
    941,796.50/1,412,663.16 = 409,317.48/x
  3. Step 3: Cross multiply
    941,796.50x = 1,412,663.16 × 409,317.48
  4. Step 4: Simplify right side
    941,796.50x = 578,227,729,270.05
  5. Step 5: Solve for x
    x = 578,227,729,270.05/941,796.50
  6. Step 6: Final answer
    x = 613,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.