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Finding the Fourth Proportional to 379,461.98, 523,612.94 and 209,685.98

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Solution

The fourth proportional to 379,461.98, 523,612.94 and 209,685.98 is: 289,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,461.98 : 523,612.94 = 209,685.98 : x
  2. Step 2: Convert to fraction form
    379,461.98/523,612.94 = 209,685.98/x
  3. Step 3: Cross multiply
    379,461.98x = 523,612.94 × 209,685.98
  4. Step 4: Simplify right side
    379,461.98x = 109,794,292,464.58
  5. Step 5: Solve for x
    x = 109,794,292,464.58/379,461.98
  6. Step 6: Final answer
    x = 289,342.01

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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.