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Finding the Fourth Proportional to 363,857.81, 545,845.10 and 153,526.73

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Solution

The fourth proportional to 363,857.81, 545,845.10 and 153,526.73 is: 230,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,857.81 : 545,845.10 = 153,526.73 : x
  2. Step 2: Convert to fraction form
    363,857.81/545,845.10 = 153,526.73/x
  3. Step 3: Cross multiply
    363,857.81x = 545,845.10 × 153,526.73
  4. Step 4: Simplify right side
    363,857.81x = 83,801,809,792.66
  5. Step 5: Solve for x
    x = 83,801,809,792.66/363,857.81
  6. Step 6: Final answer
    x = 230,314.72

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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.