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Finding the Fourth Proportional to 369,214.80, 553,822.20 and 201,253.20

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Solution

The fourth proportional to 369,214.80, 553,822.20 and 201,253.20 is: 301,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,214.80 : 553,822.20 = 201,253.20 : x
  2. Step 2: Convert to fraction form
    369,214.80/553,822.20 = 201,253.20/x
  3. Step 3: Cross multiply
    369,214.80x = 553,822.20 × 201,253.20
  4. Step 4: Simplify right side
    369,214.80x = 111,458,489,981.04
  5. Step 5: Solve for x
    x = 111,458,489,981.04/369,214.80
  6. Step 6: Final answer
    x = 301,879.80

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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.