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Finding the Fourth Proportional to 416,195.80, 624,585.30 and 266,799.40

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Solution

The fourth proportional to 416,195.80, 624,585.30 and 266,799.40 is: 400,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,195.80 : 624,585.30 = 266,799.40 : x
  2. Step 2: Convert to fraction form
    416,195.80/624,585.30 = 266,799.40/x
  3. Step 3: Cross multiply
    416,195.80x = 624,585.30 × 266,799.40
  4. Step 4: Simplify right side
    416,195.80x = 166,638,983,288.82
  5. Step 5: Solve for x
    x = 166,638,983,288.82/416,195.80
  6. Step 6: Final answer
    x = 400,386.03

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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.