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Finding the Fourth Proportional to 289,944, 400,123.44 and 169,168.32

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Solution

The fourth proportional to 289,944, 400,123.44 and 169,168.32 is: 233,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,944 : 400,123.44 = 169,168.32 : x
  2. Step 2: Convert to fraction form
    289,944/400,123.44 = 169,168.32/x
  3. Step 3: Cross multiply
    289,944x = 400,123.44 × 169,168.32
  4. Step 4: Simplify right side
    289,944x = 67,688,210,137.42
  5. Step 5: Solve for x
    x = 67,688,210,137.42/289,944
  6. Step 6: Final answer
    x = 233,452.70

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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.