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Finding the Fourth Proportional to 298,320, 411,688.08 and 164,184

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Solution

The fourth proportional to 298,320, 411,688.08 and 164,184 is: 226,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,320 : 411,688.08 = 164,184 : x
  2. Step 2: Convert to fraction form
    298,320/411,688.08 = 164,184/x
  3. Step 3: Cross multiply
    298,320x = 411,688.08 × 164,184
  4. Step 4: Simplify right side
    298,320x = 67,592,595,726.72
  5. Step 5: Solve for x
    x = 67,592,595,726.72/298,320
  6. Step 6: Final answer
    x = 226,577.49

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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.