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Finding the Fourth Proportional to 341,424.48, 471,165.71 and 188,462.63

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Solution

The fourth proportional to 341,424.48, 471,165.71 and 188,462.63 is: 260,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,424.48 : 471,165.71 = 188,462.63 : x
  2. Step 2: Convert to fraction form
    341,424.48/471,165.71 = 188,462.63/x
  3. Step 3: Cross multiply
    341,424.48x = 471,165.71 × 188,462.63
  4. Step 4: Simplify right side
    341,424.48x = 88,797,127,341.15
  5. Step 5: Solve for x
    x = 88,797,127,341.15/341,424.48
  6. Step 6: Final answer
    x = 260,078.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.