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Finding the Fourth Proportional to 509,952.89, 703,735.70 and 283,598.39

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Solution

The fourth proportional to 509,952.89, 703,735.70 and 283,598.39 is: 391,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,952.89 : 703,735.70 = 283,598.39 : x
  2. Step 2: Convert to fraction form
    509,952.89/703,735.70 = 283,598.39/x
  3. Step 3: Cross multiply
    509,952.89x = 703,735.70 × 283,598.39
  4. Step 4: Simplify right side
    509,952.89x = 199,578,311,505.52
  5. Step 5: Solve for x
    x = 199,578,311,505.52/509,952.89
  6. Step 6: Final answer
    x = 391,366.17

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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.