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Finding the Fourth Proportional to 339,018, 508,527.06 and 264,194.16

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Solution

The fourth proportional to 339,018, 508,527.06 and 264,194.16 is: 396,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,018 : 508,527.06 = 264,194.16 : x
  2. Step 2: Convert to fraction form
    339,018/508,527.06 = 264,194.16/x
  3. Step 3: Cross multiply
    339,018x = 508,527.06 × 264,194.16
  4. Step 4: Simplify right side
    339,018x = 134,349,879,453.97
  5. Step 5: Solve for x
    x = 134,349,879,453.97/339,018
  6. Step 6: Final answer
    x = 396,291.29

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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.