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Finding the Fourth Proportional to 227,689.40, 314,490.37 and 170,584.10

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Solution

The fourth proportional to 227,689.40, 314,490.37 and 170,584.10 is: 235,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,689.40 : 314,490.37 = 170,584.10 : x
  2. Step 2: Convert to fraction form
    227,689.40/314,490.37 = 170,584.10/x
  3. Step 3: Cross multiply
    227,689.40x = 314,490.37 × 170,584.10
  4. Step 4: Simplify right side
    227,689.40x = 53,647,056,725.12
  5. Step 5: Solve for x
    x = 53,647,056,725.12/227,689.40
  6. Step 6: Final answer
    x = 235,615.08

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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.