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Finding the Fourth Proportional to 509,507.03, 703,111.82 and 280,059.39

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Solution

The fourth proportional to 509,507.03, 703,111.82 and 280,059.39 is: 386,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,507.03 : 703,111.82 = 280,059.39 : x
  2. Step 2: Convert to fraction form
    509,507.03/703,111.82 = 280,059.39/x
  3. Step 3: Cross multiply
    509,507.03x = 703,111.82 × 280,059.39
  4. Step 4: Simplify right side
    509,507.03x = 196,913,068,670.33
  5. Step 5: Solve for x
    x = 196,913,068,670.33/509,507.03
  6. Step 6: Final answer
    x = 386,477.63

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