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Finding the Fourth Proportional to 986,194.84, 1,478,407.74 and 354,667

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Solution

The fourth proportional to 986,194.84, 1,478,407.74 and 354,667 is: 531,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,194.84 : 1,478,407.74 = 354,667 : x
  2. Step 2: Convert to fraction form
    986,194.84/1,478,407.74 = 354,667/x
  3. Step 3: Cross multiply
    986,194.84x = 1,478,407.74 × 354,667
  4. Step 4: Simplify right side
    986,194.84x = 524,342,437,922.58
  5. Step 5: Solve for x
    x = 524,342,437,922.58/986,194.84
  6. Step 6: Final answer
    x = 531,682.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.