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Finding the Fourth Proportional to 357,002.40, 492,688.32 and 204,063.20

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Solution

The fourth proportional to 357,002.40, 492,688.32 and 204,063.20 is: 281,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,002.40 : 492,688.32 = 204,063.20 : x
  2. Step 2: Convert to fraction form
    357,002.40/492,688.32 = 204,063.20/x
  3. Step 3: Cross multiply
    357,002.40x = 492,688.32 × 204,063.20
  4. Step 4: Simplify right side
    357,002.40x = 100,539,555,181.82
  5. Step 5: Solve for x
    x = 100,539,555,181.82/357,002.40
  6. Step 6: Final answer
    x = 281,621.51

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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.