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Finding the Fourth Proportional to 594,566.82, 820,268.64 and 339,781.32

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Solution

The fourth proportional to 594,566.82, 820,268.64 and 339,781.32 is: 468,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,566.82 : 820,268.64 = 339,781.32 : x
  2. Step 2: Convert to fraction form
    594,566.82/820,268.64 = 339,781.32/x
  3. Step 3: Cross multiply
    594,566.82x = 820,268.64 × 339,781.32
  4. Step 4: Simplify right side
    594,566.82x = 278,711,961,253.81
  5. Step 5: Solve for x
    x = 278,711,961,253.81/594,566.82
  6. Step 6: Final answer
    x = 468,764.74

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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.