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Finding the Fourth Proportional to 615,192.10, 923,772.30 and 465,601.30

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Solution

The fourth proportional to 615,192.10, 923,772.30 and 465,601.30 is: 699,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,192.10 : 923,772.30 = 465,601.30 : x
  2. Step 2: Convert to fraction form
    615,192.10/923,772.30 = 465,601.30/x
  3. Step 3: Cross multiply
    615,192.10x = 923,772.30 × 465,601.30
  4. Step 4: Simplify right side
    615,192.10x = 430,109,583,783.99
  5. Step 5: Solve for x
    x = 430,109,583,783.99/615,192.10
  6. Step 6: Final answer
    x = 699,146.79

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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.