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Finding the Fourth Proportional to 361,256.10, 542,402.55 and 203,792.10

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Solution

The fourth proportional to 361,256.10, 542,402.55 and 203,792.10 is: 305,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,256.10 : 542,402.55 = 203,792.10 : x
  2. Step 2: Convert to fraction form
    361,256.10/542,402.55 = 203,792.10/x
  3. Step 3: Cross multiply
    361,256.10x = 542,402.55 × 203,792.10
  4. Step 4: Simplify right side
    361,256.10x = 110,537,354,709.86
  5. Step 5: Solve for x
    x = 110,537,354,709.86/361,256.10
  6. Step 6: Final answer
    x = 305,980.59

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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.