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Finding the Fourth Proportional to 277,118.95, 381,901.59 and 200,508.34

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Solution

The fourth proportional to 277,118.95, 381,901.59 and 200,508.34 is: 276,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,118.95 : 381,901.59 = 200,508.34 : x
  2. Step 2: Convert to fraction form
    277,118.95/381,901.59 = 200,508.34/x
  3. Step 3: Cross multiply
    277,118.95x = 381,901.59 × 200,508.34
  4. Step 4: Simplify right side
    277,118.95x = 76,574,453,854.26
  5. Step 5: Solve for x
    x = 76,574,453,854.26/277,118.95
  6. Step 6: Final answer
    x = 276,323.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.