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Finding the Fourth Proportional to 402,004.80, 603,007.20 and 339,019.20

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Solution

The fourth proportional to 402,004.80, 603,007.20 and 339,019.20 is: 508,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,004.80 : 603,007.20 = 339,019.20 : x
  2. Step 2: Convert to fraction form
    402,004.80/603,007.20 = 339,019.20/x
  3. Step 3: Cross multiply
    402,004.80x = 603,007.20 × 339,019.20
  4. Step 4: Simplify right side
    402,004.80x = 204,431,018,538.24
  5. Step 5: Solve for x
    x = 204,431,018,538.24/402,004.80
  6. Step 6: Final answer
    x = 508,528.80

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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.