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Finding the Fourth Proportional to 471,048.24, 706,605.30 and 155,727.12

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Solution

The fourth proportional to 471,048.24, 706,605.30 and 155,727.12 is: 233,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,048.24 : 706,605.30 = 155,727.12 : x
  2. Step 2: Convert to fraction form
    471,048.24/706,605.30 = 155,727.12/x
  3. Step 3: Cross multiply
    471,048.24x = 706,605.30 × 155,727.12
  4. Step 4: Simplify right side
    471,048.24x = 110,037,608,345.74
  5. Step 5: Solve for x
    x = 110,037,608,345.74/471,048.24
  6. Step 6: Final answer
    x = 233,601.57

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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.