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Finding the Fourth Proportional to 413,222.40, 619,243.20 and 235,353.60

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Solution

The fourth proportional to 413,222.40, 619,243.20 and 235,353.60 is: 352,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,222.40 : 619,243.20 = 235,353.60 : x
  2. Step 2: Convert to fraction form
    413,222.40/619,243.20 = 235,353.60/x
  3. Step 3: Cross multiply
    413,222.40x = 619,243.20 × 235,353.60
  4. Step 4: Simplify right side
    413,222.40x = 145,741,116,395.52
  5. Step 5: Solve for x
    x = 145,741,116,395.52/413,222.40
  6. Step 6: Final answer
    x = 352,694.13

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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.