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Finding the Fourth Proportional to 398,333.34, 597,676.59 and 208,748.64

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Solution

The fourth proportional to 398,333.34, 597,676.59 and 208,748.64 is: 313,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,333.34 : 597,676.59 = 208,748.64 : x
  2. Step 2: Convert to fraction form
    398,333.34/597,676.59 = 208,748.64/x
  3. Step 3: Cross multiply
    398,333.34x = 597,676.59 × 208,748.64
  4. Step 4: Simplify right side
    398,333.34x = 124,764,175,322.34
  5. Step 5: Solve for x
    x = 124,764,175,322.34/398,333.34
  6. Step 6: Final answer
    x = 313,215.50

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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.