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Finding the Fourth Proportional to 277,775.34, 416,833.11 and 120,000.30

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Solution

The fourth proportional to 277,775.34, 416,833.11 and 120,000.30 is: 180,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,775.34 : 416,833.11 = 120,000.30 : x
  2. Step 2: Convert to fraction form
    277,775.34/416,833.11 = 120,000.30/x
  3. Step 3: Cross multiply
    277,775.34x = 416,833.11 × 120,000.30
  4. Step 4: Simplify right side
    277,775.34x = 50,020,098,249.93
  5. Step 5: Solve for x
    x = 50,020,098,249.93/277,775.34
  6. Step 6: Final answer
    x = 180,073.93

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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.