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Finding the Fourth Proportional to 586,816, 809,815.84 and 318,544

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Solution

The fourth proportional to 586,816, 809,815.84 and 318,544 is: 439,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,816 : 809,815.84 = 318,544 : x
  2. Step 2: Convert to fraction form
    586,816/809,815.84 = 318,544/x
  3. Step 3: Cross multiply
    586,816x = 809,815.84 × 318,544
  4. Step 4: Simplify right side
    586,816x = 257,961,976,936.96
  5. Step 5: Solve for x
    x = 257,961,976,936.96/586,816
  6. Step 6: Final answer
    x = 439,596.02

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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.