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Finding the Fourth Proportional to 617,400.27, 926,100.41 and 406,989

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Solution

The fourth proportional to 617,400.27, 926,100.41 and 406,989 is: 610,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,400.27 : 926,100.41 = 406,989 : x
  2. Step 2: Convert to fraction form
    617,400.27/926,100.41 = 406,989/x
  3. Step 3: Cross multiply
    617,400.27x = 926,100.41 × 406,989
  4. Step 4: Simplify right side
    617,400.27x = 376,912,677,730.55
  5. Step 5: Solve for x
    x = 376,912,677,730.55/617,400.27
  6. Step 6: Final answer
    x = 610,483.50

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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.