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Finding the Fourth Proportional to 378,576.26, 567,303.40 and 153,663.02

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Solution

The fourth proportional to 378,576.26, 567,303.40 and 153,663.02 is: 230,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576.26 : 567,303.40 = 153,663.02 : x
  2. Step 2: Convert to fraction form
    378,576.26/567,303.40 = 153,663.02/x
  3. Step 3: Cross multiply
    378,576.26x = 567,303.40 × 153,663.02
  4. Step 4: Simplify right side
    378,576.26x = 87,173,553,700.27
  5. Step 5: Solve for x
    x = 87,173,553,700.27/378,576.26
  6. Step 6: Final answer
    x = 230,266.83

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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.