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Finding the Fourth Proportional to 358,047, 494,108.46 and 196,903.17

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Solution

The fourth proportional to 358,047, 494,108.46 and 196,903.17 is: 271,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047 : 494,108.46 = 196,903.17 : x
  2. Step 2: Convert to fraction form
    358,047/494,108.46 = 196,903.17/x
  3. Step 3: Cross multiply
    358,047x = 494,108.46 × 196,903.17
  4. Step 4: Simplify right side
    358,047x = 97,291,522,097.82
  5. Step 5: Solve for x
    x = 97,291,522,097.82/358,047
  6. Step 6: Final answer
    x = 271,728.35

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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.