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Finding the Fourth Proportional to 659,213.80, 989,987.10 and 509,817.40

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Solution

The fourth proportional to 659,213.80, 989,987.10 and 509,817.40 is: 765,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,213.80 : 989,987.10 = 509,817.40 : x
  2. Step 2: Convert to fraction form
    659,213.80/989,987.10 = 509,817.40/x
  3. Step 3: Cross multiply
    659,213.80x = 989,987.10 × 509,817.40
  4. Step 4: Simplify right side
    659,213.80x = 504,712,649,355.54
  5. Step 5: Solve for x
    x = 504,712,649,355.54/659,213.80
  6. Step 6: Final answer
    x = 765,628.16

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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.