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Finding the Fourth Proportional to 591,107.40, 886,661.10 and 413,814.60

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Solution

The fourth proportional to 591,107.40, 886,661.10 and 413,814.60 is: 620,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,107.40 : 886,661.10 = 413,814.60 : x
  2. Step 2: Convert to fraction form
    591,107.40/886,661.10 = 413,814.60/x
  3. Step 3: Cross multiply
    591,107.40x = 886,661.10 × 413,814.60
  4. Step 4: Simplify right side
    591,107.40x = 366,913,308,432.06
  5. Step 5: Solve for x
    x = 366,913,308,432.06/591,107.40
  6. Step 6: Final answer
    x = 620,721.90

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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.