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Finding the Fourth Proportional to 594,780, 820,690.56 and 336,655.68

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Solution

The fourth proportional to 594,780, 820,690.56 and 336,655.68 is: 464,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,780 : 820,690.56 = 336,655.68 : x
  2. Step 2: Convert to fraction form
    594,780/820,690.56 = 336,655.68/x
  3. Step 3: Cross multiply
    594,780x = 820,690.56 × 336,655.68
  4. Step 4: Simplify right side
    594,780x = 276,290,138,546.38
  5. Step 5: Solve for x
    x = 276,290,138,546.38/594,780
  6. Step 6: Final answer
    x = 464,524.93

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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.