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Finding the Fourth Proportional to 475,165.91, 655,728.98 and 284,179.34

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Solution

The fourth proportional to 475,165.91, 655,728.98 and 284,179.34 is: 392,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,165.91 : 655,728.98 = 284,179.34 : x
  2. Step 2: Convert to fraction form
    475,165.91/655,728.98 = 284,179.34/x
  3. Step 3: Cross multiply
    475,165.91x = 655,728.98 × 284,179.34
  4. Step 4: Simplify right side
    475,165.91x = 186,344,624,055.73
  5. Step 5: Solve for x
    x = 186,344,624,055.73/475,165.91
  6. Step 6: Final answer
    x = 392,167.50

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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.