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Finding the Fourth Proportional to 310,311.40, 465,467.10 and 152,847.40

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Solution

The fourth proportional to 310,311.40, 465,467.10 and 152,847.40 is: 229,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,311.40 : 465,467.10 = 152,847.40 : x
  2. Step 2: Convert to fraction form
    310,311.40/465,467.10 = 152,847.40/x
  3. Step 3: Cross multiply
    310,311.40x = 465,467.10 × 152,847.40
  4. Step 4: Simplify right side
    310,311.40x = 71,145,436,020.54
  5. Step 5: Solve for x
    x = 71,145,436,020.54/310,311.40
  6. Step 6: Final answer
    x = 229,271.10

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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.