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Finding the Fourth Proportional to 399,292.98, 597,984.64 and 230,301

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Solution

The fourth proportional to 399,292.98, 597,984.64 and 230,301 is: 344,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,292.98 : 597,984.64 = 230,301 : x
  2. Step 2: Convert to fraction form
    399,292.98/597,984.64 = 230,301/x
  3. Step 3: Cross multiply
    399,292.98x = 597,984.64 × 230,301
  4. Step 4: Simplify right side
    399,292.98x = 137,716,460,576.64
  5. Step 5: Solve for x
    x = 137,716,460,576.64/399,292.98
  6. Step 6: Final answer
    x = 344,900.78

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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.