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Finding the Fourth Proportional to 588,904.77, 812,481.64 and 385,075

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Solution

The fourth proportional to 588,904.77, 812,481.64 and 385,075 is: 531,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,904.77 : 812,481.64 = 385,075 : x
  2. Step 2: Convert to fraction form
    588,904.77/812,481.64 = 385,075/x
  3. Step 3: Cross multiply
    588,904.77x = 812,481.64 × 385,075
  4. Step 4: Simplify right side
    588,904.77x = 312,866,367,523
  5. Step 5: Solve for x
    x = 312,866,367,523/588,904.77
  6. Step 6: Final answer
    x = 531,268.18

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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.