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Finding the Fourth Proportional to 286,274.80, 429,412.20 and 161,858.80

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Solution

The fourth proportional to 286,274.80, 429,412.20 and 161,858.80 is: 242,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,274.80 : 429,412.20 = 161,858.80 : x
  2. Step 2: Convert to fraction form
    286,274.80/429,412.20 = 161,858.80/x
  3. Step 3: Cross multiply
    286,274.80x = 429,412.20 × 161,858.80
  4. Step 4: Simplify right side
    286,274.80x = 69,504,143,397.36
  5. Step 5: Solve for x
    x = 69,504,143,397.36/286,274.80
  6. Step 6: Final answer
    x = 242,788.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.