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Finding the Fourth Proportional to 411,184.36, 616,478.46 and 277,730.92

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Solution

The fourth proportional to 411,184.36, 616,478.46 and 277,730.92 is: 416,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,184.36 : 616,478.46 = 277,730.92 : x
  2. Step 2: Convert to fraction form
    411,184.36/616,478.46 = 277,730.92/x
  3. Step 3: Cross multiply
    411,184.36x = 616,478.46 × 277,730.92
  4. Step 4: Simplify right side
    411,184.36x = 171,215,129,855.98
  5. Step 5: Solve for x
    x = 171,215,129,855.98/411,184.36
  6. Step 6: Final answer
    x = 416,395.04

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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.