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Finding the Fourth Proportional to 306,000.20, 459,000.30 and 106,254.20

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Solution

The fourth proportional to 306,000.20, 459,000.30 and 106,254.20 is: 159,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,000.20 : 459,000.30 = 106,254.20 : x
  2. Step 2: Convert to fraction form
    306,000.20/459,000.30 = 106,254.20/x
  3. Step 3: Cross multiply
    306,000.20x = 459,000.30 × 106,254.20
  4. Step 4: Simplify right side
    306,000.20x = 48,770,709,676.26
  5. Step 5: Solve for x
    x = 48,770,709,676.26/306,000.20
  6. Step 6: Final answer
    x = 159,381.30

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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.