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Finding the Fourth Proportional to 378,516.24, 567,925.83 and 153,893.93

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Solution

The fourth proportional to 378,516.24, 567,925.83 and 153,893.93 is: 230,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,516.24 : 567,925.83 = 153,893.93 : x
  2. Step 2: Convert to fraction form
    378,516.24/567,925.83 = 153,893.93/x
  3. Step 3: Cross multiply
    378,516.24x = 567,925.83 × 153,893.93
  4. Step 4: Simplify right side
    378,516.24x = 87,400,335,087.58
  5. Step 5: Solve for x
    x = 87,400,335,087.58/378,516.24
  6. Step 6: Final answer
    x = 230,902.47

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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.