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Finding the Fourth Proportional to 470,900.52, 706,437.66 and 155,379.56

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Solution

The fourth proportional to 470,900.52, 706,437.66 and 155,379.56 is: 233,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,900.52 : 706,437.66 = 155,379.56 : x
  2. Step 2: Convert to fraction form
    470,900.52/706,437.66 = 155,379.56/x
  3. Step 3: Cross multiply
    470,900.52x = 706,437.66 × 155,379.56
  4. Step 4: Simplify right side
    470,900.52x = 109,765,972,778.23
  5. Step 5: Solve for x
    x = 109,765,972,778.23/470,900.52
  6. Step 6: Final answer
    x = 233,098.01

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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.