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Finding the Fourth Proportional to 277,945.43, 417,582.44 and 178,300.24

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Solution

The fourth proportional to 277,945.43, 417,582.44 and 178,300.24 is: 267,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,945.43 : 417,582.44 = 178,300.24 : x
  2. Step 2: Convert to fraction form
    277,945.43/417,582.44 = 178,300.24/x
  3. Step 3: Cross multiply
    277,945.43x = 417,582.44 × 178,300.24
  4. Step 4: Simplify right side
    277,945.43x = 74,455,048,004.95
  5. Step 5: Solve for x
    x = 74,455,048,004.95/277,945.43
  6. Step 6: Final answer
    x = 267,876.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.