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Finding the Fourth Proportional to 341,655.40, 471,474.66 and 190,749.16

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Solution

The fourth proportional to 341,655.40, 471,474.66 and 190,749.16 is: 263,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,655.40 : 471,474.66 = 190,749.16 : x
  2. Step 2: Convert to fraction form
    341,655.40/471,474.66 = 190,749.16/x
  3. Step 3: Cross multiply
    341,655.40x = 471,474.66 × 190,749.16
  4. Step 4: Simplify right side
    341,655.40x = 89,933,395,356.29
  5. Step 5: Solve for x
    x = 89,933,395,356.29/341,655.40
  6. Step 6: Final answer
    x = 263,228.37

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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.