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Finding the Fourth Proportional to 402,477.20, 603,715.80 and 302,093.90

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Solution

The fourth proportional to 402,477.20, 603,715.80 and 302,093.90 is: 453,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,477.20 : 603,715.80 = 302,093.90 : x
  2. Step 2: Convert to fraction form
    402,477.20/603,715.80 = 302,093.90/x
  3. Step 3: Cross multiply
    402,477.20x = 603,715.80 × 302,093.90
  4. Step 4: Simplify right side
    402,477.20x = 182,378,860,513.62
  5. Step 5: Solve for x
    x = 182,378,860,513.62/402,477.20
  6. Step 6: Final answer
    x = 453,140.85

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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.