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Finding the Fourth Proportional to 277,856.04, 416,784 and 67,492.56

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Solution

The fourth proportional to 277,856.04, 416,784 and 67,492.56 is: 101,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,856.04 : 416,784 = 67,492.56 : x
  2. Step 2: Convert to fraction form
    277,856.04/416,784 = 67,492.56/x
  3. Step 3: Cross multiply
    277,856.04x = 416,784 × 67,492.56
  4. Step 4: Simplify right side
    277,856.04x = 28,129,819,127.04
  5. Step 5: Solve for x
    x = 28,129,819,127.04/277,856.04
  6. Step 6: Final answer
    x = 101,238.83

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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.