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Finding the Fourth Proportional to 389,770.60, 585,093.30 and 301,415.80

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Solution

The fourth proportional to 389,770.60, 585,093.30 and 301,415.80 is: 452,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,770.60 : 585,093.30 = 301,415.80 : x
  2. Step 2: Convert to fraction form
    389,770.60/585,093.30 = 301,415.80/x
  3. Step 3: Cross multiply
    389,770.60x = 585,093.30 × 301,415.80
  4. Step 4: Simplify right side
    389,770.60x = 176,356,365,094.14
  5. Step 5: Solve for x
    x = 176,356,365,094.14/389,770.60
  6. Step 6: Final answer
    x = 452,461.95

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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.