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Finding the Fourth Proportional to 304,656.40, 457,063.44 and 178,403.32

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Solution

The fourth proportional to 304,656.40, 457,063.44 and 178,403.32 is: 267,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,656.40 : 457,063.44 = 178,403.32 : x
  2. Step 2: Convert to fraction form
    304,656.40/457,063.44 = 178,403.32/x
  3. Step 3: Cross multiply
    304,656.40x = 457,063.44 × 178,403.32
  4. Step 4: Simplify right side
    304,656.40x = 81,541,635,146.62
  5. Step 5: Solve for x
    x = 81,541,635,146.62/304,656.40
  6. Step 6: Final answer
    x = 267,651.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.