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Finding the Fourth Proportional to 277,894.12, 383,494.14 and 150,569.71

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Solution

The fourth proportional to 277,894.12, 383,494.14 and 150,569.71 is: 207,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,894.12 : 383,494.14 = 150,569.71 : x
  2. Step 2: Convert to fraction form
    277,894.12/383,494.14 = 150,569.71/x
  3. Step 3: Cross multiply
    277,894.12x = 383,494.14 × 150,569.71
  4. Step 4: Simplify right side
    277,894.12x = 57,742,600,693.65
  5. Step 5: Solve for x
    x = 57,742,600,693.65/277,894.12
  6. Step 6: Final answer
    x = 207,786.33

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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.