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Finding the Fourth Proportional to 467,081.92, 700,851.84 and 289,541.92

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Solution

The fourth proportional to 467,081.92, 700,851.84 and 289,541.92 is: 434,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,081.92 : 700,851.84 = 289,541.92 : x
  2. Step 2: Convert to fraction form
    467,081.92/700,851.84 = 289,541.92/x
  3. Step 3: Cross multiply
    467,081.92x = 700,851.84 × 289,541.92
  4. Step 4: Simplify right side
    467,081.92x = 202,925,987,389.13
  5. Step 5: Solve for x
    x = 202,925,987,389.13/467,081.92
  6. Step 6: Final answer
    x = 434,454.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.