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Finding the Fourth Proportional to 298,839.40, 447,740.70 and 193,604.20

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Solution

The fourth proportional to 298,839.40, 447,740.70 and 193,604.20 is: 290,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,839.40 : 447,740.70 = 193,604.20 : x
  2. Step 2: Convert to fraction form
    298,839.40/447,740.70 = 193,604.20/x
  3. Step 3: Cross multiply
    298,839.40x = 447,740.70 × 193,604.20
  4. Step 4: Simplify right side
    298,839.40x = 86,684,480,030.94
  5. Step 5: Solve for x
    x = 86,684,480,030.94/298,839.40
  6. Step 6: Final answer
    x = 290,070.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.