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Finding the Fourth Proportional to 402,433.60, 603,650.40 and 296,145.40

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Solution

The fourth proportional to 402,433.60, 603,650.40 and 296,145.40 is: 444,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,433.60 : 603,650.40 = 296,145.40 : x
  2. Step 2: Convert to fraction form
    402,433.60/603,650.40 = 296,145.40/x
  3. Step 3: Cross multiply
    402,433.60x = 603,650.40 × 296,145.40
  4. Step 4: Simplify right side
    402,433.60x = 178,768,289,168.16
  5. Step 5: Solve for x
    x = 178,768,289,168.16/402,433.60
  6. Step 6: Final answer
    x = 444,218.10

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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.