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Finding the Fourth Proportional to 298,693.41, 412,192.08 and 162,729

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Solution

The fourth proportional to 298,693.41, 412,192.08 and 162,729 is: 224,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,693.41 : 412,192.08 = 162,729 : x
  2. Step 2: Convert to fraction form
    298,693.41/412,192.08 = 162,729/x
  3. Step 3: Cross multiply
    298,693.41x = 412,192.08 × 162,729
  4. Step 4: Simplify right side
    298,693.41x = 67,075,604,986.32
  5. Step 5: Solve for x
    x = 67,075,604,986.32/298,693.41
  6. Step 6: Final answer
    x = 224,563.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.