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Finding the Fourth Proportional to 528,238, 792,473.64 and 195,814

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Solution

The fourth proportional to 528,238, 792,473.64 and 195,814 is: 293,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,238 : 792,473.64 = 195,814 : x
  2. Step 2: Convert to fraction form
    528,238/792,473.64 = 195,814/x
  3. Step 3: Cross multiply
    528,238x = 792,473.64 × 195,814
  4. Step 4: Simplify right side
    528,238x = 155,177,433,342.96
  5. Step 5: Solve for x
    x = 155,177,433,342.96/528,238
  6. Step 6: Final answer
    x = 293,764.24

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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.