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Finding the Fourth Proportional to 471,263.55, 706,944.47 and 151,334.61

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Solution

The fourth proportional to 471,263.55, 706,944.47 and 151,334.61 is: 227,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,263.55 : 706,944.47 = 151,334.61 : x
  2. Step 2: Convert to fraction form
    471,263.55/706,944.47 = 151,334.61/x
  3. Step 3: Cross multiply
    471,263.55x = 706,944.47 × 151,334.61
  4. Step 4: Simplify right side
    471,263.55x = 106,985,164,902.43
  5. Step 5: Solve for x
    x = 106,985,164,902.43/471,263.55
  6. Step 6: Final answer
    x = 227,017.70

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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.