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Finding the Fourth Proportional to 471,271.85, 706,819.95 and 151,429.25

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Solution

The fourth proportional to 471,271.85, 706,819.95 and 151,429.25 is: 227,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,271.85 : 706,819.95 = 151,429.25 : x
  2. Step 2: Convert to fraction form
    471,271.85/706,819.95 = 151,429.25/x
  3. Step 3: Cross multiply
    471,271.85x = 706,819.95 × 151,429.25
  4. Step 4: Simplify right side
    471,271.85x = 107,033,212,278.83
  5. Step 5: Solve for x
    x = 107,033,212,278.83/471,271.85
  6. Step 6: Final answer
    x = 227,115.65

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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.