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Finding the Fourth Proportional to 413,094.94, 570,069.46 and 231,806.46

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Solution

The fourth proportional to 413,094.94, 570,069.46 and 231,806.46 is: 319,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,094.94 : 570,069.46 = 231,806.46 : x
  2. Step 2: Convert to fraction form
    413,094.94/570,069.46 = 231,806.46/x
  3. Step 3: Cross multiply
    413,094.94x = 570,069.46 × 231,806.46
  4. Step 4: Simplify right side
    413,094.94x = 132,145,783,476.71
  5. Step 5: Solve for x
    x = 132,145,783,476.71/413,094.94
  6. Step 6: Final answer
    x = 319,892.04

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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.