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Finding the Fourth Proportional to 353,570.36, 487,978.51 and 198,539.05

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Solution

The fourth proportional to 353,570.36, 487,978.51 and 198,539.05 is: 274,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,570.36 : 487,978.51 = 198,539.05 : x
  2. Step 2: Convert to fraction form
    353,570.36/487,978.51 = 198,539.05/x
  3. Step 3: Cross multiply
    353,570.36x = 487,978.51 × 198,539.05
  4. Step 4: Simplify right side
    353,570.36x = 96,882,791,748.32
  5. Step 5: Solve for x
    x = 96,882,791,748.32/353,570.36
  6. Step 6: Final answer
    x = 274,012.77

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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.