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Finding the Fourth Proportional to 256,401.06, 384,638.02 and 78,922.86

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Solution

The fourth proportional to 256,401.06, 384,638.02 and 78,922.86 is: 118,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,401.06 : 384,638.02 = 78,922.86 : x
  2. Step 2: Convert to fraction form
    256,401.06/384,638.02 = 78,922.86/x
  3. Step 3: Cross multiply
    256,401.06x = 384,638.02 × 78,922.86
  4. Step 4: Simplify right side
    256,401.06x = 30,356,732,603.14
  5. Step 5: Solve for x
    x = 30,356,732,603.14/256,401.06
  6. Step 6: Final answer
    x = 118,395.50

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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.