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Finding the Fourth Proportional to 313,873.50, 471,017.61 and 147,674.46

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Solution

The fourth proportional to 313,873.50, 471,017.61 and 147,674.46 is: 221,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,873.50 : 471,017.61 = 147,674.46 : x
  2. Step 2: Convert to fraction form
    313,873.50/471,017.61 = 147,674.46/x
  3. Step 3: Cross multiply
    313,873.50x = 471,017.61 × 147,674.46
  4. Step 4: Simplify right side
    313,873.50x = 69,557,271,207.24
  5. Step 5: Solve for x
    x = 69,557,271,207.24/313,873.50
  6. Step 6: Final answer
    x = 221,609.25

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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.