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Finding the Fourth Proportional to 293,693.40, 412,000.20 and 293,693.40

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Solution

The fourth proportional to 293,693.40, 412,000.20 and 293,693.40 is: 412,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,693.40 : 412,000.20 = 293,693.40 : x
  2. Step 2: Convert to fraction form
    293,693.40/412,000.20 = 293,693.40/x
  3. Step 3: Cross multiply
    293,693.40x = 412,000.20 × 293,693.40
  4. Step 4: Simplify right side
    293,693.40x = 121,001,739,538.68
  5. Step 5: Solve for x
    x = 121,001,739,538.68/293,693.40
  6. Step 6: Final answer
    x = 412,000.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.