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Finding the Fourth Proportional to 314,042.81, 471,248.82 and 114,375.24

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Solution

The fourth proportional to 314,042.81, 471,248.82 and 114,375.24 is: 171,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,042.81 : 471,248.82 = 114,375.24 : x
  2. Step 2: Convert to fraction form
    314,042.81/471,248.82 = 114,375.24/x
  3. Step 3: Cross multiply
    314,042.81x = 471,248.82 × 114,375.24
  4. Step 4: Simplify right side
    314,042.81x = 53,899,196,887.22
  5. Step 5: Solve for x
    x = 53,899,196,887.22/314,042.81
  6. Step 6: Final answer
    x = 171,630.10

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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.