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Finding the Fourth Proportional to 277,714.94, 383,246.06 and 150,390.14

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Solution

The fourth proportional to 277,714.94, 383,246.06 and 150,390.14 is: 207,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714.94 : 383,246.06 = 150,390.14 : x
  2. Step 2: Convert to fraction form
    277,714.94/383,246.06 = 150,390.14/x
  3. Step 3: Cross multiply
    277,714.94x = 383,246.06 × 150,390.14
  4. Step 4: Simplify right side
    277,714.94x = 57,636,428,617.85
  5. Step 5: Solve for x
    x = 57,636,428,617.85/277,714.94
  6. Step 6: Final answer
    x = 207,538.09

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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.