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Finding the Fourth Proportional to 402,355.40, 603,533.10 and 212,556.20

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Solution

The fourth proportional to 402,355.40, 603,533.10 and 212,556.20 is: 318,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,355.40 : 603,533.10 = 212,556.20 : x
  2. Step 2: Convert to fraction form
    402,355.40/603,533.10 = 212,556.20/x
  3. Step 3: Cross multiply
    402,355.40x = 603,533.10 × 212,556.20
  4. Step 4: Simplify right side
    402,355.40x = 128,284,702,310.22
  5. Step 5: Solve for x
    x = 128,284,702,310.22/402,355.40
  6. Step 6: Final answer
    x = 318,834.30

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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.