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Finding the Fourth Proportional to 429,891.96, 592,625.63 and 300,428.48

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Solution

The fourth proportional to 429,891.96, 592,625.63 and 300,428.48 is: 414,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,891.96 : 592,625.63 = 300,428.48 : x
  2. Step 2: Convert to fraction form
    429,891.96/592,625.63 = 300,428.48/x
  3. Step 3: Cross multiply
    429,891.96x = 592,625.63 × 300,428.48
  4. Step 4: Simplify right side
    429,891.96x = 178,041,617,229.94
  5. Step 5: Solve for x
    x = 178,041,617,229.94/429,891.96
  6. Step 6: Final answer
    x = 414,154.33

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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.