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Finding the Fourth Proportional to 411,121.14, 616,401.08 and 219,024.29

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Solution

The fourth proportional to 411,121.14, 616,401.08 and 219,024.29 is: 328,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,121.14 : 616,401.08 = 219,024.29 : x
  2. Step 2: Convert to fraction form
    411,121.14/616,401.08 = 219,024.29/x
  3. Step 3: Cross multiply
    411,121.14x = 616,401.08 × 219,024.29
  4. Step 4: Simplify right side
    411,121.14x = 135,006,809,687.64
  5. Step 5: Solve for x
    x = 135,006,809,687.64/411,121.14
  6. Step 6: Final answer
    x = 328,386.93

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1.5x scale

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.