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Finding the Fourth Proportional to 594,348, 820,214.64 and 326,076

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Solution

The fourth proportional to 594,348, 820,214.64 and 326,076 is: 449,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,348 : 820,214.64 = 326,076 : x
  2. Step 2: Convert to fraction form
    594,348/820,214.64 = 326,076/x
  3. Step 3: Cross multiply
    594,348x = 820,214.64 × 326,076
  4. Step 4: Simplify right side
    594,348x = 267,452,308,952.64
  5. Step 5: Solve for x
    x = 267,452,308,952.64/594,348
  6. Step 6: Final answer
    x = 449,992.78

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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.