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Finding the Fourth Proportional to 370,796.52, 511,696.10 and 209,683.20

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Solution

The fourth proportional to 370,796.52, 511,696.10 and 209,683.20 is: 289,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,796.52 : 511,696.10 = 209,683.20 : x
  2. Step 2: Convert to fraction form
    370,796.52/511,696.10 = 209,683.20/x
  3. Step 3: Cross multiply
    370,796.52x = 511,696.10 × 209,683.20
  4. Step 4: Simplify right side
    370,796.52x = 107,294,075,675.52
  5. Step 5: Solve for x
    x = 107,294,075,675.52/370,796.52
  6. Step 6: Final answer
    x = 289,361.06

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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.