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Finding the Fourth Proportional to 304,655.40, 457,061.94 and 178,402.32

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Solution

The fourth proportional to 304,655.40, 457,061.94 and 178,402.32 is: 267,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,655.40 : 457,061.94 = 178,402.32 : x
  2. Step 2: Convert to fraction form
    304,655.40/457,061.94 = 178,402.32/x
  3. Step 3: Cross multiply
    304,655.40x = 457,061.94 × 178,402.32
  4. Step 4: Simplify right side
    304,655.40x = 81,540,910,479.70
  5. Step 5: Solve for x
    x = 81,540,910,479.70/304,655.40
  6. Step 6: Final answer
    x = 267,649.65

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