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Finding the Fourth Proportional to 277,688.84, 383,202.90 and 164,511.59

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Solution

The fourth proportional to 277,688.84, 383,202.90 and 164,511.59 is: 227,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,688.84 : 383,202.90 = 164,511.59 : x
  2. Step 2: Convert to fraction form
    277,688.84/383,202.90 = 164,511.59/x
  3. Step 3: Cross multiply
    277,688.84x = 383,202.90 × 164,511.59
  4. Step 4: Simplify right side
    277,688.84x = 63,041,317,549.05
  5. Step 5: Solve for x
    x = 63,041,317,549.05/277,688.84
  6. Step 6: Final answer
    x = 227,021.43

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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.