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Finding the Fourth Proportional to 471,628, 706,997.28 and 234,746.74

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Solution

The fourth proportional to 471,628, 706,997.28 and 234,746.74 is: 351,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,628 : 706,997.28 = 234,746.74 : x
  2. Step 2: Convert to fraction form
    471,628/706,997.28 = 234,746.74/x
  3. Step 3: Cross multiply
    471,628x = 706,997.28 × 234,746.74
  4. Step 4: Simplify right side
    471,628x = 165,965,306,668.87
  5. Step 5: Solve for x
    x = 165,965,306,668.87/471,628
  6. Step 6: Final answer
    x = 351,898.76

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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.