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Finding the Fourth Proportional to 802,586.30, 1,106,662.10 and 511,809.26

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Solution

The fourth proportional to 802,586.30, 1,106,662.10 and 511,809.26 is: 705,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,586.30 : 1,106,662.10 = 511,809.26 : x
  2. Step 2: Convert to fraction form
    802,586.30/1,106,662.10 = 511,809.26/x
  3. Step 3: Cross multiply
    802,586.30x = 1,106,662.10 × 511,809.26
  4. Step 4: Simplify right side
    802,586.30x = 566,399,910,471.05
  5. Step 5: Solve for x
    x = 566,399,910,471.05/802,586.30
  6. Step 6: Final answer
    x = 705,718.39

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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.