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Finding the Fourth Proportional to 355,511.20, 533,072.40 and 144,911.20

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Solution

The fourth proportional to 355,511.20, 533,072.40 and 144,911.20 is: 217,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,511.20 : 533,072.40 = 144,911.20 : x
  2. Step 2: Convert to fraction form
    355,511.20/533,072.40 = 144,911.20/x
  3. Step 3: Cross multiply
    355,511.20x = 533,072.40 × 144,911.20
  4. Step 4: Simplify right side
    355,511.20x = 77,248,161,170.88
  5. Step 5: Solve for x
    x = 77,248,161,170.88/355,511.20
  6. Step 6: Final answer
    x = 217,287.56

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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.