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Finding the Fourth Proportional to 252,030.76, 347,479.62 and 206,541.16

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Solution

The fourth proportional to 252,030.76, 347,479.62 and 206,541.16 is: 284,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,030.76 : 347,479.62 = 206,541.16 : x
  2. Step 2: Convert to fraction form
    252,030.76/347,479.62 = 206,541.16/x
  3. Step 3: Cross multiply
    252,030.76x = 347,479.62 × 206,541.16
  4. Step 4: Simplify right side
    252,030.76x = 71,768,843,791.16
  5. Step 5: Solve for x
    x = 71,768,843,791.16/252,030.76
  6. Step 6: Final answer
    x = 284,762.24

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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.