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Finding the Fourth Proportional to 277,827.70, 383,401.29 and 150,503.14

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Solution

The fourth proportional to 277,827.70, 383,401.29 and 150,503.14 is: 207,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,827.70 : 383,401.29 = 150,503.14 : x
  2. Step 2: Convert to fraction form
    277,827.70/383,401.29 = 150,503.14/x
  3. Step 3: Cross multiply
    277,827.70x = 383,401.29 × 150,503.14
  4. Step 4: Simplify right side
    277,827.70x = 57,703,098,025.05
  5. Step 5: Solve for x
    x = 57,703,098,025.05/277,827.70
  6. Step 6: Final answer
    x = 207,693.83

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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.