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Finding the Fourth Proportional to 306,530.51, 459,796.02 and 146,568.80

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Solution

The fourth proportional to 306,530.51, 459,796.02 and 146,568.80 is: 219,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,530.51 : 459,796.02 = 146,568.80 : x
  2. Step 2: Convert to fraction form
    306,530.51/459,796.02 = 146,568.80/x
  3. Step 3: Cross multiply
    306,530.51x = 459,796.02 × 146,568.80
  4. Step 4: Simplify right side
    306,530.51x = 67,391,751,496.03
  5. Step 5: Solve for x
    x = 67,391,751,496.03/306,530.51
  6. Step 6: Final answer
    x = 219,853.33

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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.