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Finding the Fourth Proportional to 295,718.83, 408,091.66 and 159,752.77

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Solution

The fourth proportional to 295,718.83, 408,091.66 and 159,752.77 is: 220,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,718.83 : 408,091.66 = 159,752.77 : x
  2. Step 2: Convert to fraction form
    295,718.83/408,091.66 = 159,752.77/x
  3. Step 3: Cross multiply
    295,718.83x = 408,091.66 × 159,752.77
  4. Step 4: Simplify right side
    295,718.83x = 65,193,771,679.29
  5. Step 5: Solve for x
    x = 65,193,771,679.29/295,718.83
  6. Step 6: Final answer
    x = 220,458.64

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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.