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Finding the Fourth Proportional to 328,652.28, 493,182.54 and 210,408.48

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Solution

The fourth proportional to 328,652.28, 493,182.54 and 210,408.48 is: 315,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,652.28 : 493,182.54 = 210,408.48 : x
  2. Step 2: Convert to fraction form
    328,652.28/493,182.54 = 210,408.48/x
  3. Step 3: Cross multiply
    328,652.28x = 493,182.54 × 210,408.48
  4. Step 4: Simplify right side
    328,652.28x = 103,769,788,603.94
  5. Step 5: Solve for x
    x = 103,769,788,603.94/328,652.28
  6. Step 6: Final answer
    x = 315,743.40

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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.