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Finding the Fourth Proportional to 271,283.20, 407,119.20 and 152,828.80

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Solution

The fourth proportional to 271,283.20, 407,119.20 and 152,828.80 is: 229,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,283.20 : 407,119.20 = 152,828.80 : x
  2. Step 2: Convert to fraction form
    271,283.20/407,119.20 = 152,828.80/x
  3. Step 3: Cross multiply
    271,283.20x = 407,119.20 × 152,828.80
  4. Step 4: Simplify right side
    271,283.20x = 62,219,538,792.96
  5. Step 5: Solve for x
    x = 62,219,538,792.96/271,283.20
  6. Step 6: Final answer
    x = 229,352.72

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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.