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Finding the Fourth Proportional to 471,296.83, 706,838.73 and 134,330.22

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Solution

The fourth proportional to 471,296.83, 706,838.73 and 134,330.22 is: 201,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,296.83 : 706,838.73 = 134,330.22 : x
  2. Step 2: Convert to fraction form
    471,296.83/706,838.73 = 134,330.22/x
  3. Step 3: Cross multiply
    471,296.83x = 706,838.73 × 134,330.22
  4. Step 4: Simplify right side
    471,296.83x = 94,949,802,105.42
  5. Step 5: Solve for x
    x = 94,949,802,105.42/471,296.83
  6. Step 6: Final answer
    x = 201,464.97

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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.