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Finding the Fourth Proportional to 402,072.80, 602,234.40 and 244,025.60

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Solution

The fourth proportional to 402,072.80, 602,234.40 and 244,025.60 is: 365,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,072.80 : 602,234.40 = 244,025.60 : x
  2. Step 2: Convert to fraction form
    402,072.80/602,234.40 = 244,025.60/x
  3. Step 3: Cross multiply
    402,072.80x = 602,234.40 × 244,025.60
  4. Step 4: Simplify right side
    402,072.80x = 146,960,610,800.64
  5. Step 5: Solve for x
    x = 146,960,610,800.64/402,072.80
  6. Step 6: Final answer
    x = 365,507.47

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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.