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Finding the Fourth Proportional to 277,744.66, 383,287.27 and 150,420.76

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Solution

The fourth proportional to 277,744.66, 383,287.27 and 150,420.76 is: 207,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744.66 : 383,287.27 = 150,420.76 : x
  2. Step 2: Convert to fraction form
    277,744.66/383,287.27 = 150,420.76/x
  3. Step 3: Cross multiply
    277,744.66x = 383,287.27 × 150,420.76
  4. Step 4: Simplify right side
    277,744.66x = 57,654,362,451.73
  5. Step 5: Solve for x
    x = 57,654,362,451.73/277,744.66
  6. Step 6: Final answer
    x = 207,580.45

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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.