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Finding the Fourth Proportional to 358,211.32, 494,319.10 and 197,064.64

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Solution

The fourth proportional to 358,211.32, 494,319.10 and 197,064.64 is: 271,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,211.32 : 494,319.10 = 197,064.64 : x
  2. Step 2: Convert to fraction form
    358,211.32/494,319.10 = 197,064.64/x
  3. Step 3: Cross multiply
    358,211.32x = 494,319.10 × 197,064.64
  4. Step 4: Simplify right side
    358,211.32x = 97,412,815,486.62
  5. Step 5: Solve for x
    x = 97,412,815,486.62/358,211.32
  6. Step 6: Final answer
    x = 271,942.31

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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.