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Finding the Fourth Proportional to 370,977.21, 511,948.58 and 209,828.79

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Solution

The fourth proportional to 370,977.21, 511,948.58 and 209,828.79 is: 289,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,977.21 : 511,948.58 = 209,828.79 : x
  2. Step 2: Convert to fraction form
    370,977.21/511,948.58 = 209,828.79/x
  3. Step 3: Cross multiply
    370,977.21x = 511,948.58 × 209,828.79
  4. Step 4: Simplify right side
    370,977.21x = 107,421,550,034.47
  5. Step 5: Solve for x
    x = 107,421,550,034.47/370,977.21
  6. Step 6: Final answer
    x = 289,563.74

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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.