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Finding the Fourth Proportional to 294,594.50, 406,540.42 and 160,458.50

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Solution

The fourth proportional to 294,594.50, 406,540.42 and 160,458.50 is: 221,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594.50 : 406,540.42 = 160,458.50 : x
  2. Step 2: Convert to fraction form
    294,594.50/406,540.42 = 160,458.50/x
  3. Step 3: Cross multiply
    294,594.50x = 406,540.42 × 160,458.50
  4. Step 4: Simplify right side
    294,594.50x = 65,232,865,982.57
  5. Step 5: Solve for x
    x = 65,232,865,982.57/294,594.50
  6. Step 6: Final answer
    x = 221,432.74

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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.