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Finding the Fourth Proportional to 465,174.73, 697,319.15 and 149,410.22

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Solution

The fourth proportional to 465,174.73, 697,319.15 and 149,410.22 is: 223,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,174.73 : 697,319.15 = 149,410.22 : x
  2. Step 2: Convert to fraction form
    465,174.73/697,319.15 = 149,410.22/x
  3. Step 3: Cross multiply
    465,174.73x = 697,319.15 × 149,410.22
  4. Step 4: Simplify right side
    465,174.73x = 104,186,607,611.71
  5. Step 5: Solve for x
    x = 104,186,607,611.71/465,174.73
  6. Step 6: Final answer
    x = 223,973.06

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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.