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Finding the Fourth Proportional to 377,315.33, 565,900.75 and 146,504.30

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Solution

The fourth proportional to 377,315.33, 565,900.75 and 146,504.30 is: 219,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,315.33 : 565,900.75 = 146,504.30 : x
  2. Step 2: Convert to fraction form
    377,315.33/565,900.75 = 146,504.30/x
  3. Step 3: Cross multiply
    377,315.33x = 565,900.75 × 146,504.30
  4. Step 4: Simplify right side
    377,315.33x = 82,906,894,296.72
  5. Step 5: Solve for x
    x = 82,906,894,296.72/377,315.33
  6. Step 6: Final answer
    x = 219,728.40

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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.