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Finding the Fourth Proportional to 304,716.16, 457,152 and 193,188.88

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Solution

The fourth proportional to 304,716.16, 457,152 and 193,188.88 is: 289,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,716.16 : 457,152 = 193,188.88 : x
  2. Step 2: Convert to fraction form
    304,716.16/457,152 = 193,188.88/x
  3. Step 3: Cross multiply
    304,716.16x = 457,152 × 193,188.88
  4. Step 4: Simplify right side
    304,716.16x = 88,316,682,869.76
  5. Step 5: Solve for x
    x = 88,316,682,869.76/304,716.16
  6. Step 6: Final answer
    x = 289,832.62

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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.