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Finding the Fourth Proportional to 471,356.02, 707,144.73 and 155,812.96

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Solution

The fourth proportional to 471,356.02, 707,144.73 and 155,812.96 is: 233,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,356.02 : 707,144.73 = 155,812.96 : x
  2. Step 2: Convert to fraction form
    471,356.02/707,144.73 = 155,812.96/x
  3. Step 3: Cross multiply
    471,356.02x = 707,144.73 × 155,812.96
  4. Step 4: Simplify right side
    471,356.02x = 110,182,313,529.70
  5. Step 5: Solve for x
    x = 110,182,313,529.70/471,356.02
  6. Step 6: Final answer
    x = 233,756.03

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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.