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Finding the Fourth Proportional to 298,287.76, 411,644.70 and 162,329.08

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Solution

The fourth proportional to 298,287.76, 411,644.70 and 162,329.08 is: 224,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,287.76 : 411,644.70 = 162,329.08 : x
  2. Step 2: Convert to fraction form
    298,287.76/411,644.70 = 162,329.08/x
  3. Step 3: Cross multiply
    298,287.76x = 411,644.70 × 162,329.08
  4. Step 4: Simplify right side
    298,287.76x = 66,821,905,437.88
  5. Step 5: Solve for x
    x = 66,821,905,437.88/298,287.76
  6. Step 6: Final answer
    x = 224,018.26

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