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Finding the Fourth Proportional to 412,902.17, 619,041.53 and 270,783.25

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Solution

The fourth proportional to 412,902.17, 619,041.53 and 270,783.25 is: 405,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,902.17 : 619,041.53 = 270,783.25 : x
  2. Step 2: Convert to fraction form
    412,902.17/619,041.53 = 270,783.25/x
  3. Step 3: Cross multiply
    412,902.17x = 619,041.53 × 270,783.25
  4. Step 4: Simplify right side
    412,902.17x = 167,626,076,507.73
  5. Step 5: Solve for x
    x = 167,626,076,507.73/412,902.17
  6. Step 6: Final answer
    x = 405,970.44

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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.