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Finding the Fourth Proportional to 304,886.82, 457,381.66 and 105,153.78

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Solution

The fourth proportional to 304,886.82, 457,381.66 and 105,153.78 is: 157,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,886.82 : 457,381.66 = 105,153.78 : x
  2. Step 2: Convert to fraction form
    304,886.82/457,381.66 = 105,153.78/x
  3. Step 3: Cross multiply
    304,886.82x = 457,381.66 × 105,153.78
  4. Step 4: Simplify right side
    304,886.82x = 48,095,410,451.67
  5. Step 5: Solve for x
    x = 48,095,410,451.67/304,886.82
  6. Step 6: Final answer
    x = 157,748.41

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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.