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Finding the Fourth Proportional to 509,994.36, 703,817.16 and 283,635

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Solution

The fourth proportional to 509,994.36, 703,817.16 and 283,635 is: 391,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,994.36 : 703,817.16 = 283,635 : x
  2. Step 2: Convert to fraction form
    509,994.36/703,817.16 = 283,635/x
  3. Step 3: Cross multiply
    509,994.36x = 703,817.16 × 283,635
  4. Step 4: Simplify right side
    509,994.36x = 199,627,180,176.60
  5. Step 5: Solve for x
    x = 199,627,180,176.60/509,994.36
  6. Step 6: Final answer
    x = 391,430.17

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Why These Related Problems?

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