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Finding the Fourth Proportional to 354,475.52, 489,164.64 and 201,504.32

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Solution

The fourth proportional to 354,475.52, 489,164.64 and 201,504.32 is: 278,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,475.52 : 489,164.64 = 201,504.32 : x
  2. Step 2: Convert to fraction form
    354,475.52/489,164.64 = 201,504.32/x
  3. Step 3: Cross multiply
    354,475.52x = 489,164.64 × 201,504.32
  4. Step 4: Simplify right side
    354,475.52x = 98,568,788,151.24
  5. Step 5: Solve for x
    x = 98,568,788,151.24/354,475.52
  6. Step 6: Final answer
    x = 278,069.38

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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.