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Finding the Fourth Proportional to 535,637.36, 802,983 and 409,839.11

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Solution

The fourth proportional to 535,637.36, 802,983 and 409,839.11 is: 614,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,637.36 : 802,983 = 409,839.11 : x
  2. Step 2: Convert to fraction form
    535,637.36/802,983 = 409,839.11/x
  3. Step 3: Cross multiply
    535,637.36x = 802,983 × 409,839.11
  4. Step 4: Simplify right side
    535,637.36x = 329,093,838,065.13
  5. Step 5: Solve for x
    x = 329,093,838,065.13/535,637.36
  6. Step 6: Final answer
    x = 614,396.72

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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.