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Finding the Fourth Proportional to 298,175.64, 411,484.20 and 162,210.84

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Solution

The fourth proportional to 298,175.64, 411,484.20 and 162,210.84 is: 223,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,175.64 : 411,484.20 = 162,210.84 : x
  2. Step 2: Convert to fraction form
    298,175.64/411,484.20 = 162,210.84/x
  3. Step 3: Cross multiply
    298,175.64x = 411,484.20 × 162,210.84
  4. Step 4: Simplify right side
    298,175.64x = 66,747,197,728.73
  5. Step 5: Solve for x
    x = 66,747,197,728.73/298,175.64
  6. Step 6: Final answer
    x = 223,851.95

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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.