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Finding the Fourth Proportional to 597,754.34, 896,456.54 and 492,311.78

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Solution

The fourth proportional to 597,754.34, 896,456.54 and 492,311.78 is: 738,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,754.34 : 896,456.54 = 492,311.78 : x
  2. Step 2: Convert to fraction form
    597,754.34/896,456.54 = 492,311.78/x
  3. Step 3: Cross multiply
    597,754.34x = 896,456.54 × 492,311.78
  4. Step 4: Simplify right side
    597,754.34x = 441,336,114,900.04
  5. Step 5: Solve for x
    x = 441,336,114,900.04/597,754.34
  6. Step 6: Final answer
    x = 738,323.56

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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.