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Finding the Fourth Proportional to 304,911.72, 457,440.21 and 105,233.82

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Solution

The fourth proportional to 304,911.72, 457,440.21 and 105,233.82 is: 157,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,911.72 : 457,440.21 = 105,233.82 : x
  2. Step 2: Convert to fraction form
    304,911.72/457,440.21 = 105,233.82/x
  3. Step 3: Cross multiply
    304,911.72x = 457,440.21 × 105,233.82
  4. Step 4: Simplify right side
    304,911.72x = 48,138,180,719.90
  5. Step 5: Solve for x
    x = 48,138,180,719.90/304,911.72
  6. Step 6: Final answer
    x = 157,875.80

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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.