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Finding the Fourth Proportional to 601,390.69, 829,884.27 and 329,411.23

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Solution

The fourth proportional to 601,390.69, 829,884.27 and 329,411.23 is: 454,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,390.69 : 829,884.27 = 329,411.23 : x
  2. Step 2: Convert to fraction form
    601,390.69/829,884.27 = 329,411.23/x
  3. Step 3: Cross multiply
    601,390.69x = 829,884.27 × 329,411.23
  4. Step 4: Simplify right side
    601,390.69x = 273,373,192,341.88
  5. Step 5: Solve for x
    x = 273,373,192,341.88/601,390.69
  6. Step 6: Final answer
    x = 454,568.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.