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Finding the Fourth Proportional to 478,094.20, 717,141.78 and 123,109

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Solution

The fourth proportional to 478,094.20, 717,141.78 and 123,109 is: 184,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,094.20 : 717,141.78 = 123,109 : x
  2. Step 2: Convert to fraction form
    478,094.20/717,141.78 = 123,109/x
  3. Step 3: Cross multiply
    478,094.20x = 717,141.78 × 123,109
  4. Step 4: Simplify right side
    478,094.20x = 88,286,607,394.02
  5. Step 5: Solve for x
    x = 88,286,607,394.02/478,094.20
  6. Step 6: Final answer
    x = 184,663.62

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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.