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Finding the Fourth Proportional to 518,533, 715,576.02 and 280,069

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Solution

The fourth proportional to 518,533, 715,576.02 and 280,069 is: 386,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,533 : 715,576.02 = 280,069 : x
  2. Step 2: Convert to fraction form
    518,533/715,576.02 = 280,069/x
  3. Step 3: Cross multiply
    518,533x = 715,576.02 × 280,069
  4. Step 4: Simplify right side
    518,533x = 200,410,660,345.38
  5. Step 5: Solve for x
    x = 200,410,660,345.38/518,533
  6. Step 6: Final answer
    x = 386,495.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.