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Finding the Fourth Proportional to 277,499.85, 382,856.31 and 180,659.49

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Solution

The fourth proportional to 277,499.85, 382,856.31 and 180,659.49 is: 249,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,499.85 : 382,856.31 = 180,659.49 : x
  2. Step 2: Convert to fraction form
    277,499.85/382,856.31 = 180,659.49/x
  3. Step 3: Cross multiply
    277,499.85x = 382,856.31 × 180,659.49
  4. Step 4: Simplify right side
    277,499.85x = 69,166,625,707.88
  5. Step 5: Solve for x
    x = 69,166,625,707.88/277,499.85
  6. Step 6: Final answer
    x = 249,249.24

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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.