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Finding the Fourth Proportional to 257,389.31, 386,218.60 and 186,894.27

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Solution

The fourth proportional to 257,389.31, 386,218.60 and 186,894.27 is: 280,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,389.31 : 386,218.60 = 186,894.27 : x
  2. Step 2: Convert to fraction form
    257,389.31/386,218.60 = 186,894.27/x
  3. Step 3: Cross multiply
    257,389.31x = 386,218.60 × 186,894.27
  4. Step 4: Simplify right side
    257,389.31x = 72,182,042,840.19
  5. Step 5: Solve for x
    x = 72,182,042,840.19/257,389.31
  6. Step 6: Final answer
    x = 280,439.16

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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.