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Finding the Fourth Proportional to 375,083.82, 517,513.32 and 213,880.14

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Solution

The fourth proportional to 375,083.82, 517,513.32 and 213,880.14 is: 295,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,083.82 : 517,513.32 = 213,880.14 : x
  2. Step 2: Convert to fraction form
    375,083.82/517,513.32 = 213,880.14/x
  3. Step 3: Cross multiply
    375,083.82x = 517,513.32 × 213,880.14
  4. Step 4: Simplify right side
    375,083.82x = 110,685,821,333.47
  5. Step 5: Solve for x
    x = 110,685,821,333.47/375,083.82
  6. Step 6: Final answer
    x = 295,096.23

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1.5x scale

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.