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Finding the Fourth Proportional to 400,754.82, 601,133.44 and 97,147.77

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Solution

The fourth proportional to 400,754.82, 601,133.44 and 97,147.77 is: 145,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,754.82 : 601,133.44 = 97,147.77 : x
  2. Step 2: Convert to fraction form
    400,754.82/601,133.44 = 97,147.77/x
  3. Step 3: Cross multiply
    400,754.82x = 601,133.44 × 97,147.77
  4. Step 4: Simplify right side
    400,754.82x = 58,398,772,925.56
  5. Step 5: Solve for x
    x = 58,398,772,925.56/400,754.82
  6. Step 6: Final answer
    x = 145,721.95

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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.