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Finding the Fourth Proportional to 362,714.20, 543,415.20 and 310,226.20

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Solution

The fourth proportional to 362,714.20, 543,415.20 and 310,226.20 is: 464,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,714.20 : 543,415.20 = 310,226.20 : x
  2. Step 2: Convert to fraction form
    362,714.20/543,415.20 = 310,226.20/x
  3. Step 3: Cross multiply
    362,714.20x = 543,415.20 × 310,226.20
  4. Step 4: Simplify right side
    362,714.20x = 168,581,632,518.24
  5. Step 5: Solve for x
    x = 168,581,632,518.24/362,714.20
  6. Step 6: Final answer
    x = 464,778.14

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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.