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Finding the Fourth Proportional to 311,224.90, 466,088.94 and 177,700.45

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Solution

The fourth proportional to 311,224.90, 466,088.94 and 177,700.45 is: 266,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,224.90 : 466,088.94 = 177,700.45 : x
  2. Step 2: Convert to fraction form
    311,224.90/466,088.94 = 177,700.45/x
  3. Step 3: Cross multiply
    311,224.90x = 466,088.94 × 177,700.45
  4. Step 4: Simplify right side
    311,224.90x = 82,824,214,378.02
  5. Step 5: Solve for x
    x = 82,824,214,378.02/311,224.90
  6. Step 6: Final answer
    x = 266,123.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.