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Finding the Fourth Proportional to 277,722.91, 383,256.85 and 150,398.47

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Solution

The fourth proportional to 277,722.91, 383,256.85 and 150,398.47 is: 207,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,722.91 : 383,256.85 = 150,398.47 : x
  2. Step 2: Convert to fraction form
    277,722.91/383,256.85 = 150,398.47/x
  3. Step 3: Cross multiply
    277,722.91x = 383,256.85 × 150,398.47
  4. Step 4: Simplify right side
    277,722.91x = 57,641,243,857.02
  5. Step 5: Solve for x
    x = 57,641,243,857.02/277,722.91
  6. Step 6: Final answer
    x = 207,549.47

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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.