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Finding the Fourth Proportional to 411,126.74, 616,409.46 and 219,029.89

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Solution

The fourth proportional to 411,126.74, 616,409.46 and 219,029.89 is: 328,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,126.74 : 616,409.46 = 219,029.89 : x
  2. Step 2: Convert to fraction form
    411,126.74/616,409.46 = 219,029.89/x
  3. Step 3: Cross multiply
    411,126.74x = 616,409.46 × 219,029.89
  4. Step 4: Simplify right side
    411,126.74x = 135,012,096,218.76
  5. Step 5: Solve for x
    x = 135,012,096,218.76/411,126.74
  6. Step 6: Final answer
    x = 328,395.32

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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.