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Finding the Fourth Proportional to 594,369, 820,243.62 and 326,097

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Solution

The fourth proportional to 594,369, 820,243.62 and 326,097 is: 450,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,369 : 820,243.62 = 326,097 : x
  2. Step 2: Convert to fraction form
    594,369/820,243.62 = 326,097/x
  3. Step 3: Cross multiply
    594,369x = 820,243.62 × 326,097
  4. Step 4: Simplify right side
    594,369x = 267,478,983,751.14
  5. Step 5: Solve for x
    x = 267,478,983,751.14/594,369
  6. Step 6: Final answer
    x = 450,021.76

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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.