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Finding the Fourth Proportional to 411,973, 618,294.72 and 212,350.47

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Solution

The fourth proportional to 411,973, 618,294.72 and 212,350.47 is: 318,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,973 : 618,294.72 = 212,350.47 : x
  2. Step 2: Convert to fraction form
    411,973/618,294.72 = 212,350.47/x
  3. Step 3: Cross multiply
    411,973x = 618,294.72 × 212,350.47
  4. Step 4: Simplify right side
    411,973x = 131,295,174,390.52
  5. Step 5: Solve for x
    x = 131,295,174,390.52/411,973
  6. Step 6: Final answer
    x = 318,698.49

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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.