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Finding the Fourth Proportional to 407,302.20, 610,952.76 and 229,728.60

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Solution

The fourth proportional to 407,302.20, 610,952.76 and 229,728.60 is: 344,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,302.20 : 610,952.76 = 229,728.60 : x
  2. Step 2: Convert to fraction form
    407,302.20/610,952.76 = 229,728.60/x
  3. Step 3: Cross multiply
    407,302.20x = 610,952.76 × 229,728.60
  4. Step 4: Simplify right side
    407,302.20x = 140,353,322,220.94
  5. Step 5: Solve for x
    x = 140,353,322,220.94/407,302.20
  6. Step 6: Final answer
    x = 344,592.60

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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.