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Finding the Fourth Proportional to 301,385.88, 452,078.82 and 114,397.38

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Solution

The fourth proportional to 301,385.88, 452,078.82 and 114,397.38 is: 171,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,385.88 : 452,078.82 = 114,397.38 : x
  2. Step 2: Convert to fraction form
    301,385.88/452,078.82 = 114,397.38/x
  3. Step 3: Cross multiply
    301,385.88x = 452,078.82 × 114,397.38
  4. Step 4: Simplify right side
    301,385.88x = 51,716,632,561.49
  5. Step 5: Solve for x
    x = 51,716,632,561.49/301,385.88
  6. Step 6: Final answer
    x = 171,596.07

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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.