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Finding the Fourth Proportional to 295,654.35, 408,002.94 and 159,688.20

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Solution

The fourth proportional to 295,654.35, 408,002.94 and 159,688.20 is: 220,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,654.35 : 408,002.94 = 159,688.20 : x
  2. Step 2: Convert to fraction form
    295,654.35/408,002.94 = 159,688.20/x
  3. Step 3: Cross multiply
    295,654.35x = 408,002.94 × 159,688.20
  4. Step 4: Simplify right side
    295,654.35x = 65,153,255,083.31
  5. Step 5: Solve for x
    x = 65,153,255,083.31/295,654.35
  6. Step 6: Final answer
    x = 220,369.68

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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.