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Finding the Fourth Proportional to 475,094.44, 712,674.92 and 190,784.98

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Solution

The fourth proportional to 475,094.44, 712,674.92 and 190,784.98 is: 286,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,094.44 : 712,674.92 = 190,784.98 : x
  2. Step 2: Convert to fraction form
    475,094.44/712,674.92 = 190,784.98/x
  3. Step 3: Cross multiply
    475,094.44x = 712,674.92 × 190,784.98
  4. Step 4: Simplify right side
    475,094.44x = 135,967,667,623.09
  5. Step 5: Solve for x
    x = 135,967,667,623.09/475,094.44
  6. Step 6: Final answer
    x = 286,190.82

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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.