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Finding the Fourth Proportional to 597,478.75, 896,393.01 and 192,662.82

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Solution

The fourth proportional to 597,478.75, 896,393.01 and 192,662.82 is: 289,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,478.75 : 896,393.01 = 192,662.82 : x
  2. Step 2: Convert to fraction form
    597,478.75/896,393.01 = 192,662.82/x
  3. Step 3: Cross multiply
    597,478.75x = 896,393.01 × 192,662.82
  4. Step 4: Simplify right side
    597,478.75x = 172,701,605,134.89
  5. Step 5: Solve for x
    x = 172,701,605,134.89/597,478.75
  6. Step 6: Final answer
    x = 289,050.62

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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.