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Finding the Fourth Proportional to 471,254.53, 706,947.45 and 151,416.04

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Solution

The fourth proportional to 471,254.53, 706,947.45 and 151,416.04 is: 227,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,254.53 : 706,947.45 = 151,416.04 : x
  2. Step 2: Convert to fraction form
    471,254.53/706,947.45 = 151,416.04/x
  3. Step 3: Cross multiply
    471,254.53x = 706,947.45 × 151,416.04
  4. Step 4: Simplify right side
    471,254.53x = 107,043,183,367.10
  5. Step 5: Solve for x
    x = 107,043,183,367.10/471,254.53
  6. Step 6: Final answer
    x = 227,145.16

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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.