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Finding the Fourth Proportional to 357,863.06, 493,857.16 and 196,724.90

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Solution

The fourth proportional to 357,863.06, 493,857.16 and 196,724.90 is: 271,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.06 : 493,857.16 = 196,724.90 : x
  2. Step 2: Convert to fraction form
    357,863.06/493,857.16 = 196,724.90/x
  3. Step 3: Cross multiply
    357,863.06x = 493,857.16 × 196,724.90
  4. Step 4: Simplify right side
    357,863.06x = 97,154,000,415.28
  5. Step 5: Solve for x
    x = 97,154,000,415.28/357,863.06
  6. Step 6: Final answer
    x = 271,483.74

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1.5x scale

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.