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Finding the Fourth Proportional to 370,971.32, 511,952.01 and 209,823.22

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Solution

The fourth proportional to 370,971.32, 511,952.01 and 209,823.22 is: 289,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,971.32 : 511,952.01 = 209,823.22 : x
  2. Step 2: Convert to fraction form
    370,971.32/511,952.01 = 209,823.22/x
  3. Step 3: Cross multiply
    370,971.32x = 511,952.01 × 209,823.22
  4. Step 4: Simplify right side
    370,971.32x = 107,419,419,223.67
  5. Step 5: Solve for x
    x = 107,419,419,223.67/370,971.32
  6. Step 6: Final answer
    x = 289,562.60

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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.