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Finding the Fourth Proportional to 590,563.10, 885,844.65 and 413,615.90

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Solution

The fourth proportional to 590,563.10, 885,844.65 and 413,615.90 is: 620,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,563.10 : 885,844.65 = 413,615.90 : x
  2. Step 2: Convert to fraction form
    590,563.10/885,844.65 = 413,615.90/x
  3. Step 3: Cross multiply
    590,563.10x = 885,844.65 × 413,615.90
  4. Step 4: Simplify right side
    590,563.10x = 366,399,432,169.94
  5. Step 5: Solve for x
    x = 366,399,432,169.94/590,563.10
  6. Step 6: Final answer
    x = 620,423.85

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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.