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Finding the Fourth Proportional to 277,665.40, 383,177.76 and 150,340.96

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Solution

The fourth proportional to 277,665.40, 383,177.76 and 150,340.96 is: 207,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,665.40 : 383,177.76 = 150,340.96 : x
  2. Step 2: Convert to fraction form
    277,665.40/383,177.76 = 150,340.96/x
  3. Step 3: Cross multiply
    277,665.40x = 383,177.76 × 150,340.96
  4. Step 4: Simplify right side
    277,665.40x = 57,607,312,289.05
  5. Step 5: Solve for x
    x = 57,607,312,289.05/277,665.40
  6. Step 6: Final answer
    x = 207,470.26

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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.