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Finding the Fourth Proportional to 594,308.16, 820,138.32 and 322,371

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Solution

The fourth proportional to 594,308.16, 820,138.32 and 322,371 is: 444,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,308.16 : 820,138.32 = 322,371 : x
  2. Step 2: Convert to fraction form
    594,308.16/820,138.32 = 322,371/x
  3. Step 3: Cross multiply
    594,308.16x = 820,138.32 × 322,371
  4. Step 4: Simplify right side
    594,308.16x = 264,388,810,356.72
  5. Step 5: Solve for x
    x = 264,388,810,356.72/594,308.16
  6. Step 6: Final answer
    x = 444,868.22

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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.