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Finding the Fourth Proportional to 295,688.91, 408,050.86 and 159,722.86

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Solution

The fourth proportional to 295,688.91, 408,050.86 and 159,722.86 is: 220,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.91 : 408,050.86 = 159,722.86 : x
  2. Step 2: Convert to fraction form
    295,688.91/408,050.86 = 159,722.86/x
  3. Step 3: Cross multiply
    295,688.91x = 408,050.86 × 159,722.86
  4. Step 4: Simplify right side
    295,688.91x = 65,175,050,384.66
  5. Step 5: Solve for x
    x = 65,175,050,384.66/295,688.91
  6. Step 6: Final answer
    x = 220,417.64

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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.