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Finding the Fourth Proportional to 370,510.44, 511,297.72 and 209,362

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Solution

The fourth proportional to 370,510.44, 511,297.72 and 209,362 is: 288,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,510.44 : 511,297.72 = 209,362 : x
  2. Step 2: Convert to fraction form
    370,510.44/511,297.72 = 209,362/x
  3. Step 3: Cross multiply
    370,510.44x = 511,297.72 × 209,362
  4. Step 4: Simplify right side
    370,510.44x = 107,046,313,254.64
  5. Step 5: Solve for x
    x = 107,046,313,254.64/370,510.44
  6. Step 6: Final answer
    x = 288,915.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.