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Finding the Fourth Proportional to 509,988.72, 703,774.44 and 283,629.36

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Solution

The fourth proportional to 509,988.72, 703,774.44 and 283,629.36 is: 391,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,988.72 : 703,774.44 = 283,629.36 : x
  2. Step 2: Convert to fraction form
    509,988.72/703,774.44 = 283,629.36/x
  3. Step 3: Cross multiply
    509,988.72x = 703,774.44 × 283,629.36
  4. Step 4: Simplify right side
    509,988.72x = 199,611,094,001.56
  5. Step 5: Solve for x
    x = 199,611,094,001.56/509,988.72
  6. Step 6: Final answer
    x = 391,402.96

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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.