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Finding the Fourth Proportional to 334,829.56, 461,934.57 and 189,602

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Solution

The fourth proportional to 334,829.56, 461,934.57 and 189,602 is: 261,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,829.56 : 461,934.57 = 189,602 : x
  2. Step 2: Convert to fraction form
    334,829.56/461,934.57 = 189,602/x
  3. Step 3: Cross multiply
    334,829.56x = 461,934.57 × 189,602
  4. Step 4: Simplify right side
    334,829.56x = 87,583,718,341.14
  5. Step 5: Solve for x
    x = 87,583,718,341.14/334,829.56
  6. Step 6: Final answer
    x = 261,577.02

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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.