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Finding the Fourth Proportional to 333,826.74, 500,822.19 and 97,171.47

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Solution

The fourth proportional to 333,826.74, 500,822.19 and 97,171.47 is: 145,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,826.74 : 500,822.19 = 97,171.47 : x
  2. Step 2: Convert to fraction form
    333,826.74/500,822.19 = 97,171.47/x
  3. Step 3: Cross multiply
    333,826.74x = 500,822.19 × 97,171.47
  4. Step 4: Simplify right side
    333,826.74x = 48,665,628,410.92
  5. Step 5: Solve for x
    x = 48,665,628,410.92/333,826.74
  6. Step 6: Final answer
    x = 145,781.10

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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.