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Finding the Fourth Proportional to 306,488.69, 459,434.96 and 146,523.17

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Solution

The fourth proportional to 306,488.69, 459,434.96 and 146,523.17 is: 219,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,488.69 : 459,434.96 = 146,523.17 : x
  2. Step 2: Convert to fraction form
    306,488.69/459,434.96 = 146,523.17/x
  3. Step 3: Cross multiply
    306,488.69x = 459,434.96 × 146,523.17
  4. Step 4: Simplify right side
    306,488.69x = 67,317,869,719.80
  5. Step 5: Solve for x
    x = 67,317,869,719.80/306,488.69
  6. Step 6: Final answer
    x = 219,642.27

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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.