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Finding the Fourth Proportional to 400,924.28, 601,455.90 and 134,710.76

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Solution

The fourth proportional to 400,924.28, 601,455.90 and 134,710.76 is: 202,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,924.28 : 601,455.90 = 134,710.76 : x
  2. Step 2: Convert to fraction form
    400,924.28/601,455.90 = 134,710.76/x
  3. Step 3: Cross multiply
    400,924.28x = 601,455.90 × 134,710.76
  4. Step 4: Simplify right side
    400,924.28x = 81,022,581,395.48
  5. Step 5: Solve for x
    x = 81,022,581,395.48/400,924.28
  6. Step 6: Final answer
    x = 202,089.49

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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.