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Finding the Fourth Proportional to 341,462.64, 471,238.92 and 190,569.36

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Solution

The fourth proportional to 341,462.64, 471,238.92 and 190,569.36 is: 262,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,462.64 : 471,238.92 = 190,569.36 : x
  2. Step 2: Convert to fraction form
    341,462.64/471,238.92 = 190,569.36/x
  3. Step 3: Cross multiply
    341,462.64x = 471,238.92 × 190,569.36
  4. Step 4: Simplify right side
    341,462.64x = 89,803,699,391.49
  5. Step 5: Solve for x
    x = 89,803,699,391.49/341,462.64
  6. Step 6: Final answer
    x = 262,997.14

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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.