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Finding the Fourth Proportional to 289,384.32, 399,328.20 and 162,042.60

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Solution

The fourth proportional to 289,384.32, 399,328.20 and 162,042.60 is: 223,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384.32 : 399,328.20 = 162,042.60 : x
  2. Step 2: Convert to fraction form
    289,384.32/399,328.20 = 162,042.60/x
  3. Step 3: Cross multiply
    289,384.32x = 399,328.20 × 162,042.60
  4. Step 4: Simplify right side
    289,384.32x = 64,708,179,781.32
  5. Step 5: Solve for x
    x = 64,708,179,781.32/289,384.32
  6. Step 6: Final answer
    x = 223,606.38

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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.