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Finding the Fourth Proportional to 277,594.10, 383,421.42 and 200,991.92

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Solution

The fourth proportional to 277,594.10, 383,421.42 and 200,991.92 is: 277,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,594.10 : 383,421.42 = 200,991.92 : x
  2. Step 2: Convert to fraction form
    277,594.10/383,421.42 = 200,991.92/x
  3. Step 3: Cross multiply
    277,594.10x = 383,421.42 × 200,991.92
  4. Step 4: Simplify right side
    277,594.10x = 77,064,606,023.11
  5. Step 5: Solve for x
    x = 77,064,606,023.11/277,594.10
  6. Step 6: Final answer
    x = 277,616.16

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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.