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Finding the Fourth Proportional to 370,507.74, 511,294.02 and 209,359.31

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Solution

The fourth proportional to 370,507.74, 511,294.02 and 209,359.31 is: 288,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,507.74 : 511,294.02 = 209,359.31 : x
  2. Step 2: Convert to fraction form
    370,507.74/511,294.02 = 209,359.31/x
  3. Step 3: Cross multiply
    370,507.74x = 511,294.02 × 209,359.31
  4. Step 4: Simplify right side
    370,507.74x = 107,044,159,892.76
  5. Step 5: Solve for x
    x = 107,044,159,892.76/370,507.74
  6. Step 6: Final answer
    x = 288,912.08

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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.