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Finding the Fourth Proportional to 306,464.80, 459,826.80 and 194,231.20

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Solution

The fourth proportional to 306,464.80, 459,826.80 and 194,231.20 is: 291,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,464.80 : 459,826.80 = 194,231.20 : x
  2. Step 2: Convert to fraction form
    306,464.80/459,826.80 = 194,231.20/x
  3. Step 3: Cross multiply
    306,464.80x = 459,826.80 × 194,231.20
  4. Step 4: Simplify right side
    306,464.80x = 89,312,711,156.16
  5. Step 5: Solve for x
    x = 89,312,711,156.16/306,464.80
  6. Step 6: Final answer
    x = 291,428.94

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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.