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Finding the Fourth Proportional to 283,168.32, 390,609.76 and 177,000

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Solution

The fourth proportional to 283,168.32, 390,609.76 and 177,000 is: 244,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,168.32 : 390,609.76 = 177,000 : x
  2. Step 2: Convert to fraction form
    283,168.32/390,609.76 = 177,000/x
  3. Step 3: Cross multiply
    283,168.32x = 390,609.76 × 177,000
  4. Step 4: Simplify right side
    283,168.32x = 69,137,927,520
  5. Step 5: Solve for x
    x = 69,137,927,520/283,168.32
  6. Step 6: Final answer
    x = 244,158.41

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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.