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Finding the Fourth Proportional to 295,688.84, 408,050.74 and 159,722.78

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Solution

The fourth proportional to 295,688.84, 408,050.74 and 159,722.78 is: 220,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.84 : 408,050.74 = 159,722.78 : x
  2. Step 2: Convert to fraction form
    295,688.84/408,050.74 = 159,722.78/x
  3. Step 3: Cross multiply
    295,688.84x = 408,050.74 × 159,722.78
  4. Step 4: Simplify right side
    295,688.84x = 65,174,998,573.86
  5. Step 5: Solve for x
    x = 65,174,998,573.86/295,688.84
  6. Step 6: Final answer
    x = 220,417.51

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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.