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Finding the Fourth Proportional to 599,771.64, 827,148.81 and 497,635.41

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Solution

The fourth proportional to 599,771.64, 827,148.81 and 497,635.41 is: 686,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,771.64 : 827,148.81 = 497,635.41 : x
  2. Step 2: Convert to fraction form
    599,771.64/827,148.81 = 497,635.41/x
  3. Step 3: Cross multiply
    599,771.64x = 827,148.81 × 497,635.41
  4. Step 4: Simplify right side
    599,771.64x = 411,618,537,195.36
  5. Step 5: Solve for x
    x = 411,618,537,195.36/599,771.64
  6. Step 6: Final answer
    x = 686,292.10

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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.