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Finding the Fourth Proportional to 277,826, 416,962.44 and 144,746

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Solution

The fourth proportional to 277,826, 416,962.44 and 144,746 is: 217,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,826 : 416,962.44 = 144,746 : x
  2. Step 2: Convert to fraction form
    277,826/416,962.44 = 144,746/x
  3. Step 3: Cross multiply
    277,826x = 416,962.44 × 144,746
  4. Step 4: Simplify right side
    277,826x = 60,353,645,340.24
  5. Step 5: Solve for x
    x = 60,353,645,340.24/277,826
  6. Step 6: Final answer
    x = 217,235.41

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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.