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Finding the Fourth Proportional to 622,952.36, 933,071.34 and 409,479.30

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Solution

The fourth proportional to 622,952.36, 933,071.34 and 409,479.30 is: 613,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,952.36 : 933,071.34 = 409,479.30 : x
  2. Step 2: Convert to fraction form
    622,952.36/933,071.34 = 409,479.30/x
  3. Step 3: Cross multiply
    622,952.36x = 933,071.34 × 409,479.30
  4. Step 4: Simplify right side
    622,952.36x = 382,073,399,153.26
  5. Step 5: Solve for x
    x = 382,073,399,153.26/622,952.36
  6. Step 6: Final answer
    x = 613,326.83

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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.