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Finding the Fourth Proportional to 401,296.05, 601,945.16 and 101,776.82

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Solution

The fourth proportional to 401,296.05, 601,945.16 and 101,776.82 is: 152,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,296.05 : 601,945.16 = 101,776.82 : x
  2. Step 2: Convert to fraction form
    401,296.05/601,945.16 = 101,776.82/x
  3. Step 3: Cross multiply
    401,296.05x = 601,945.16 × 101,776.82
  4. Step 4: Simplify right side
    401,296.05x = 61,264,060,680.58
  5. Step 5: Solve for x
    x = 61,264,060,680.58/401,296.05
  6. Step 6: Final answer
    x = 152,665.50

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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.