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Finding the Fourth Proportional to 379,184.90, 523,271.95 and 209,415.38

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Solution

The fourth proportional to 379,184.90, 523,271.95 and 209,415.38 is: 288,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,184.90 : 523,271.95 = 209,415.38 : x
  2. Step 2: Convert to fraction form
    379,184.90/523,271.95 = 209,415.38/x
  3. Step 3: Cross multiply
    379,184.90x = 523,271.95 × 209,415.38
  4. Step 4: Simplify right side
    379,184.90x = 109,581,191,112.69
  5. Step 5: Solve for x
    x = 109,581,191,112.69/379,184.90
  6. Step 6: Final answer
    x = 288,991.45

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Why These Related Problems?

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