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Finding the Fourth Proportional to 493,465.52, 680,982.72 and 278,606

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Solution

The fourth proportional to 493,465.52, 680,982.72 and 278,606 is: 384,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,465.52 : 680,982.72 = 278,606 : x
  2. Step 2: Convert to fraction form
    493,465.52/680,982.72 = 278,606/x
  3. Step 3: Cross multiply
    493,465.52x = 680,982.72 × 278,606
  4. Step 4: Simplify right side
    493,465.52x = 189,725,871,688.32
  5. Step 5: Solve for x
    x = 189,725,871,688.32/493,465.52
  6. Step 6: Final answer
    x = 384,476.45

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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.