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Finding the Fourth Proportional to 298,964.32, 412,337.46 and 191,544.40

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Solution

The fourth proportional to 298,964.32, 412,337.46 and 191,544.40 is: 264,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964.32 : 412,337.46 = 191,544.40 : x
  2. Step 2: Convert to fraction form
    298,964.32/412,337.46 = 191,544.40/x
  3. Step 3: Cross multiply
    298,964.32x = 412,337.46 × 191,544.40
  4. Step 4: Simplify right side
    298,964.32x = 78,980,931,373.22
  5. Step 5: Solve for x
    x = 78,980,931,373.22/298,964.32
  6. Step 6: Final answer
    x = 264,181.80

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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.