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Finding the Fourth Proportional to 402,002.60, 603,003.90 and 165,223.40

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Solution

The fourth proportional to 402,002.60, 603,003.90 and 165,223.40 is: 247,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.60 : 603,003.90 = 165,223.40 : x
  2. Step 2: Convert to fraction form
    402,002.60/603,003.90 = 165,223.40/x
  3. Step 3: Cross multiply
    402,002.60x = 603,003.90 × 165,223.40
  4. Step 4: Simplify right side
    402,002.60x = 99,630,354,571.26
  5. Step 5: Solve for x
    x = 99,630,354,571.26/402,002.60
  6. Step 6: Final answer
    x = 247,835.10

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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.