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Finding the Fourth Proportional to 517,736.16, 776,287.10 and 201,824

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Solution

The fourth proportional to 517,736.16, 776,287.10 and 201,824 is: 302,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,736.16 : 776,287.10 = 201,824 : x
  2. Step 2: Convert to fraction form
    517,736.16/776,287.10 = 201,824/x
  3. Step 3: Cross multiply
    517,736.16x = 776,287.10 × 201,824
  4. Step 4: Simplify right side
    517,736.16x = 156,673,367,670.40
  5. Step 5: Solve for x
    x = 156,673,367,670.40/517,736.16
  6. Step 6: Final answer
    x = 302,612.37

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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.