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Finding the Fourth Proportional to 401,393.52, 601,973.64 and 261,892.08

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Solution

The fourth proportional to 401,393.52, 601,973.64 and 261,892.08 is: 392,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,393.52 : 601,973.64 = 261,892.08 : x
  2. Step 2: Convert to fraction form
    401,393.52/601,973.64 = 261,892.08/x
  3. Step 3: Cross multiply
    401,393.52x = 601,973.64 × 261,892.08
  4. Step 4: Simplify right side
    401,393.52x = 157,652,128,684.77
  5. Step 5: Solve for x
    x = 157,652,128,684.77/401,393.52
  6. Step 6: Final answer
    x = 392,762.02

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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.