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Finding the Fourth Proportional to 413,571.87, 570,688.88 and 232,242.57

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Solution

The fourth proportional to 413,571.87, 570,688.88 and 232,242.57 is: 320,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,571.87 : 570,688.88 = 232,242.57 : x
  2. Step 2: Convert to fraction form
    413,571.87/570,688.88 = 232,242.57/x
  3. Step 3: Cross multiply
    413,571.87x = 570,688.88 × 232,242.57
  4. Step 4: Simplify right side
    413,571.87x = 132,538,251,000.41
  5. Step 5: Solve for x
    x = 132,538,251,000.41/413,571.87
  6. Step 6: Final answer
    x = 320,472.11

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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.