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Finding the Fourth Proportional to 413,369.78, 570,406.24 and 232,101.50

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Solution

The fourth proportional to 413,369.78, 570,406.24 and 232,101.50 is: 320,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,369.78 : 570,406.24 = 232,101.50 : x
  2. Step 2: Convert to fraction form
    413,369.78/570,406.24 = 232,101.50/x
  3. Step 3: Cross multiply
    413,369.78x = 570,406.24 × 232,101.50
  4. Step 4: Simplify right side
    413,369.78x = 132,392,143,913.36
  5. Step 5: Solve for x
    x = 132,392,143,913.36/413,369.78
  6. Step 6: Final answer
    x = 320,275.33

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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.