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Finding the Fourth Proportional to 365,769, 548,155.35 and 205,921.17

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Solution

The fourth proportional to 365,769, 548,155.35 and 205,921.17 is: 308,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,769 : 548,155.35 = 205,921.17 : x
  2. Step 2: Convert to fraction form
    365,769/548,155.35 = 205,921.17/x
  3. Step 3: Cross multiply
    365,769x = 548,155.35 × 205,921.17
  4. Step 4: Simplify right side
    365,769x = 112,876,791,013.76
  5. Step 5: Solve for x
    x = 112,876,791,013.76/365,769
  6. Step 6: Final answer
    x = 308,601.31

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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.