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Finding the Fourth Proportional to 352,830.24, 486,948.24 and 201,924

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Solution

The fourth proportional to 352,830.24, 486,948.24 and 201,924 is: 278,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,830.24 : 486,948.24 = 201,924 : x
  2. Step 2: Convert to fraction form
    352,830.24/486,948.24 = 201,924/x
  3. Step 3: Cross multiply
    352,830.24x = 486,948.24 × 201,924
  4. Step 4: Simplify right side
    352,830.24x = 98,326,536,413.76
  5. Step 5: Solve for x
    x = 98,326,536,413.76/352,830.24
  6. Step 6: Final answer
    x = 278,679.45

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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.