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Finding the Fourth Proportional to 413,224.40, 619,246.20 and 235,355.60

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Solution

The fourth proportional to 413,224.40, 619,246.20 and 235,355.60 is: 352,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,224.40 : 619,246.20 = 235,355.60 : x
  2. Step 2: Convert to fraction form
    413,224.40/619,246.20 = 235,355.60/x
  3. Step 3: Cross multiply
    413,224.40x = 619,246.20 × 235,355.60
  4. Step 4: Simplify right side
    413,224.40x = 145,743,060,948.72
  5. Step 5: Solve for x
    x = 145,743,060,948.72/413,224.40
  6. Step 6: Final answer
    x = 352,697.13

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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.