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Finding the Fourth Proportional to 277,999.42, 383,641.14 and 150,677.14

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Solution

The fourth proportional to 277,999.42, 383,641.14 and 150,677.14 is: 207,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,999.42 : 383,641.14 = 150,677.14 : x
  2. Step 2: Convert to fraction form
    277,999.42/383,641.14 = 150,677.14/x
  3. Step 3: Cross multiply
    277,999.42x = 383,641.14 × 150,677.14
  4. Step 4: Simplify right side
    277,999.42x = 57,805,949,761.54
  5. Step 5: Solve for x
    x = 57,805,949,761.54/277,999.42
  6. Step 6: Final answer
    x = 207,935.50

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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.