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Finding the Fourth Proportional to 370,566.78, 511,368.84 and 209,418.30

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Solution

The fourth proportional to 370,566.78, 511,368.84 and 209,418.30 is: 288,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,566.78 : 511,368.84 = 209,418.30 : x
  2. Step 2: Convert to fraction form
    370,566.78/511,368.84 = 209,418.30/x
  3. Step 3: Cross multiply
    370,566.78x = 511,368.84 × 209,418.30
  4. Step 4: Simplify right side
    370,566.78x = 107,089,993,145.77
  5. Step 5: Solve for x
    x = 107,089,993,145.77/370,566.78
  6. Step 6: Final answer
    x = 288,989.73

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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.