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Finding the Fourth Proportional to 264,810.20, 397,385.40 and 146,566.40

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Solution

The fourth proportional to 264,810.20, 397,385.40 and 146,566.40 is: 219,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,810.20 : 397,385.40 = 146,566.40 : x
  2. Step 2: Convert to fraction form
    264,810.20/397,385.40 = 146,566.40/x
  3. Step 3: Cross multiply
    264,810.20x = 397,385.40 × 146,566.40
  4. Step 4: Simplify right side
    264,810.20x = 58,243,347,490.56
  5. Step 5: Solve for x
    x = 58,243,347,490.56/264,810.20
  6. Step 6: Final answer
    x = 219,943.75

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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.