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Finding the Fourth Proportional to 475,093.40, 713,043.30 and 194,811.80

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Solution

The fourth proportional to 475,093.40, 713,043.30 and 194,811.80 is: 292,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,093.40 : 713,043.30 = 194,811.80 : x
  2. Step 2: Convert to fraction form
    475,093.40/713,043.30 = 194,811.80/x
  3. Step 3: Cross multiply
    475,093.40x = 713,043.30 × 194,811.80
  4. Step 4: Simplify right side
    475,093.40x = 138,909,248,750.94
  5. Step 5: Solve for x
    x = 138,909,248,750.94/475,093.40
  6. Step 6: Final answer
    x = 292,383.03

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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.