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Finding the Fourth Proportional to 277,649.40, 383,155.68 and 150,324.96

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Solution

The fourth proportional to 277,649.40, 383,155.68 and 150,324.96 is: 207,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,649.40 : 383,155.68 = 150,324.96 : x
  2. Step 2: Convert to fraction form
    277,649.40/383,155.68 = 150,324.96/x
  3. Step 3: Cross multiply
    277,649.40x = 383,155.68 × 150,324.96
  4. Step 4: Simplify right side
    277,649.40x = 57,597,862,269.77
  5. Step 5: Solve for x
    x = 57,597,862,269.77/277,649.40
  6. Step 6: Final answer
    x = 207,448.18

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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.