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Finding the Fourth Proportional to 286,424.90, 395,222.46 and 165,542.88

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Solution

The fourth proportional to 286,424.90, 395,222.46 and 165,542.88 is: 228,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,424.90 : 395,222.46 = 165,542.88 : x
  2. Step 2: Convert to fraction form
    286,424.90/395,222.46 = 165,542.88/x
  3. Step 3: Cross multiply
    286,424.90x = 395,222.46 × 165,542.88
  4. Step 4: Simplify right side
    286,424.90x = 65,426,264,269.08
  5. Step 5: Solve for x
    x = 65,426,264,269.08/286,424.90
  6. Step 6: Final answer
    x = 228,423.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.