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Finding the Fourth Proportional to 298,018.90, 411,263.85 and 162,052.94

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Solution

The fourth proportional to 298,018.90, 411,263.85 and 162,052.94 is: 223,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,018.90 : 411,263.85 = 162,052.94 : x
  2. Step 2: Convert to fraction form
    298,018.90/411,263.85 = 162,052.94/x
  3. Step 3: Cross multiply
    298,018.90x = 411,263.85 × 162,052.94
  4. Step 4: Simplify right side
    298,018.90x = 66,646,516,008.22
  5. Step 5: Solve for x
    x = 66,646,516,008.22/298,018.90
  6. Step 6: Final answer
    x = 223,631.84

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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.