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Finding the Fourth Proportional to 357,922.32, 493,928.35 and 196,775.95

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Solution

The fourth proportional to 357,922.32, 493,928.35 and 196,775.95 is: 271,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,922.32 : 493,928.35 = 196,775.95 : x
  2. Step 2: Convert to fraction form
    357,922.32/493,928.35 = 196,775.95/x
  3. Step 3: Cross multiply
    357,922.32x = 493,928.35 × 196,775.95
  4. Step 4: Simplify right side
    357,922.32x = 97,193,220,303.18
  5. Step 5: Solve for x
    x = 97,193,220,303.18/357,922.32
  6. Step 6: Final answer
    x = 271,548.36

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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.