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Finding the Fourth Proportional to 482,462.60, 723,797.58 and 201,835.40

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Solution

The fourth proportional to 482,462.60, 723,797.58 and 201,835.40 is: 302,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,462.60 : 723,797.58 = 201,835.40 : x
  2. Step 2: Convert to fraction form
    482,462.60/723,797.58 = 201,835.40/x
  3. Step 3: Cross multiply
    482,462.60x = 723,797.58 × 201,835.40
  4. Step 4: Simplify right side
    482,462.60x = 146,087,974,078.33
  5. Step 5: Solve for x
    x = 146,087,974,078.33/482,462.60
  6. Step 6: Final answer
    x = 302,796.47

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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.