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Finding the Fourth Proportional to 367,271.40, 550,907.10 and 209,515.80

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Solution

The fourth proportional to 367,271.40, 550,907.10 and 209,515.80 is: 314,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,271.40 : 550,907.10 = 209,515.80 : x
  2. Step 2: Convert to fraction form
    367,271.40/550,907.10 = 209,515.80/x
  3. Step 3: Cross multiply
    367,271.40x = 550,907.10 × 209,515.80
  4. Step 4: Simplify right side
    367,271.40x = 115,423,741,782.18
  5. Step 5: Solve for x
    x = 115,423,741,782.18/367,271.40
  6. Step 6: Final answer
    x = 314,273.70

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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.