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Finding the Fourth Proportional to 314,175.70, 471,296.31 and 100,889.74

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Solution

The fourth proportional to 314,175.70, 471,296.31 and 100,889.74 is: 151,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,175.70 : 471,296.31 = 100,889.74 : x
  2. Step 2: Convert to fraction form
    314,175.70/471,296.31 = 100,889.74/x
  3. Step 3: Cross multiply
    314,175.70x = 471,296.31 × 100,889.74
  4. Step 4: Simplify right side
    314,175.70x = 47,548,962,178.86
  5. Step 5: Solve for x
    x = 47,548,962,178.86/314,175.70
  6. Step 6: Final answer
    x = 151,345.13

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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.