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Finding the Fourth Proportional to 509,952.39, 703,735.01 and 283,597.89

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Solution

The fourth proportional to 509,952.39, 703,735.01 and 283,597.89 is: 391,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,952.39 : 703,735.01 = 283,597.89 : x
  2. Step 2: Convert to fraction form
    509,952.39/703,735.01 = 283,597.89/x
  3. Step 3: Cross multiply
    509,952.39x = 703,735.01 × 283,597.89
  4. Step 4: Simplify right side
    509,952.39x = 199,577,763,955.13
  5. Step 5: Solve for x
    x = 199,577,763,955.13/509,952.39
  6. Step 6: Final answer
    x = 391,365.48

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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.