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Finding the Fourth Proportional to 402,003.90, 603,005.85 and 380,231.10

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Solution

The fourth proportional to 402,003.90, 603,005.85 and 380,231.10 is: 570,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,003.90 : 603,005.85 = 380,231.10 : x
  2. Step 2: Convert to fraction form
    402,003.90/603,005.85 = 380,231.10/x
  3. Step 3: Cross multiply
    402,003.90x = 603,005.85 × 380,231.10
  4. Step 4: Simplify right side
    402,003.90x = 229,281,577,651.94
  5. Step 5: Solve for x
    x = 229,281,577,651.94/402,003.90
  6. Step 6: Final answer
    x = 570,346.65

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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.