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Finding the Fourth Proportional to 357,931.64, 493,949.04 and 196,787.82

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Solution

The fourth proportional to 357,931.64, 493,949.04 and 196,787.82 is: 271,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,931.64 : 493,949.04 = 196,787.82 : x
  2. Step 2: Convert to fraction form
    357,931.64/493,949.04 = 196,787.82/x
  3. Step 3: Cross multiply
    357,931.64x = 493,949.04 × 196,787.82
  4. Step 4: Simplify right side
    357,931.64x = 97,203,154,772.69
  5. Step 5: Solve for x
    x = 97,203,154,772.69/357,931.64
  6. Step 6: Final answer
    x = 271,569.05

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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.