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Finding the Fourth Proportional to 459,495.12, 633,663.20 and 304,200.59

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Solution

The fourth proportional to 459,495.12, 633,663.20 and 304,200.59 is: 419,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,495.12 : 633,663.20 = 304,200.59 : x
  2. Step 2: Convert to fraction form
    459,495.12/633,663.20 = 304,200.59/x
  3. Step 3: Cross multiply
    459,495.12x = 633,663.20 × 304,200.59
  4. Step 4: Simplify right side
    459,495.12x = 192,760,719,301.29
  5. Step 5: Solve for x
    x = 192,760,719,301.29/459,495.12
  6. Step 6: Final answer
    x = 419,505.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.