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Finding the Fourth Proportional to 699,172.02, 964,262.07 and 590,805.90

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Solution

The fourth proportional to 699,172.02, 964,262.07 and 590,805.90 is: 814,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,172.02 : 964,262.07 = 590,805.90 : x
  2. Step 2: Convert to fraction form
    699,172.02/964,262.07 = 590,805.90/x
  3. Step 3: Cross multiply
    699,172.02x = 964,262.07 × 590,805.90
  4. Step 4: Simplify right side
    699,172.02x = 569,691,720,102.21
  5. Step 5: Solve for x
    x = 569,691,720,102.21/699,172.02
  6. Step 6: Final answer
    x = 814,809.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.