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Finding the Fourth Proportional to 306,493.80, 459,740.70 and 212,015.40

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Solution

The fourth proportional to 306,493.80, 459,740.70 and 212,015.40 is: 318,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,493.80 : 459,740.70 = 212,015.40 : x
  2. Step 2: Convert to fraction form
    306,493.80/459,740.70 = 212,015.40/x
  3. Step 3: Cross multiply
    306,493.80x = 459,740.70 × 212,015.40
  4. Step 4: Simplify right side
    306,493.80x = 97,472,108,406.78
  5. Step 5: Solve for x
    x = 97,472,108,406.78/306,493.80
  6. Step 6: Final answer
    x = 318,023.10

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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.