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Finding the Fourth Proportional to 277,879.21, 383,468.30 and 157,017.90

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Solution

The fourth proportional to 277,879.21, 383,468.30 and 157,017.90 is: 216,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,879.21 : 383,468.30 = 157,017.90 : x
  2. Step 2: Convert to fraction form
    277,879.21/383,468.30 = 157,017.90/x
  3. Step 3: Cross multiply
    277,879.21x = 383,468.30 × 157,017.90
  4. Step 4: Simplify right side
    277,879.21x = 60,211,386,137.11
  5. Step 5: Solve for x
    x = 60,211,386,137.11/277,879.21
  6. Step 6: Final answer
    x = 216,681.87

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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.