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Finding the Fourth Proportional to 334,165.32, 461,105.52 and 190,934.64

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Solution

The fourth proportional to 334,165.32, 461,105.52 and 190,934.64 is: 263,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,165.32 : 461,105.52 = 190,934.64 : x
  2. Step 2: Convert to fraction form
    334,165.32/461,105.52 = 190,934.64/x
  3. Step 3: Cross multiply
    334,165.32x = 461,105.52 × 190,934.64
  4. Step 4: Simplify right side
    334,165.32x = 88,041,016,463.21
  5. Step 5: Solve for x
    x = 88,041,016,463.21/334,165.32
  6. Step 6: Final answer
    x = 263,465.45

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