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Finding the Fourth Proportional to 597,756.34, 896,459.54 and 492,313.78

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Solution

The fourth proportional to 597,756.34, 896,459.54 and 492,313.78 is: 738,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,756.34 : 896,459.54 = 492,313.78 : x
  2. Step 2: Convert to fraction form
    597,756.34/896,459.54 = 492,313.78/x
  3. Step 3: Cross multiply
    597,756.34x = 896,459.54 × 492,313.78
  4. Step 4: Simplify right side
    597,756.34x = 441,339,384,754.46
  5. Step 5: Solve for x
    x = 441,339,384,754.46/597,756.34
  6. Step 6: Final answer
    x = 738,326.56

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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.