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Finding the Fourth Proportional to 450,307.94, 675,543.77 and 213,648.42

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Solution

The fourth proportional to 450,307.94, 675,543.77 and 213,648.42 is: 320,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,307.94 : 675,543.77 = 213,648.42 : x
  2. Step 2: Convert to fraction form
    450,307.94/675,543.77 = 213,648.42/x
  3. Step 3: Cross multiply
    450,307.94x = 675,543.77 × 213,648.42
  4. Step 4: Simplify right side
    450,307.94x = 144,328,858,033.10
  5. Step 5: Solve for x
    x = 144,328,858,033.10/450,307.94
  6. Step 6: Final answer
    x = 320,511.47

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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.