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Finding the Fourth Proportional to 382,643.40, 574,224.30 and 249,198.60

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Solution

The fourth proportional to 382,643.40, 574,224.30 and 249,198.60 is: 373,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,643.40 : 574,224.30 = 249,198.60 : x
  2. Step 2: Convert to fraction form
    382,643.40/574,224.30 = 249,198.60/x
  3. Step 3: Cross multiply
    382,643.40x = 574,224.30 × 249,198.60
  4. Step 4: Simplify right side
    382,643.40x = 143,095,891,645.98
  5. Step 5: Solve for x
    x = 143,095,891,645.98/382,643.40
  6. Step 6: Final answer
    x = 373,966.71

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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.