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Finding the Fourth Proportional to 313,967.64, 433,266.26 and 178,014.26

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Solution

The fourth proportional to 313,967.64, 433,266.26 and 178,014.26 is: 245,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,967.64 : 433,266.26 = 178,014.26 : x
  2. Step 2: Convert to fraction form
    313,967.64/433,266.26 = 178,014.26/x
  3. Step 3: Cross multiply
    313,967.64x = 433,266.26 × 178,014.26
  4. Step 4: Simplify right side
    313,967.64x = 77,127,572,656.87
  5. Step 5: Solve for x
    x = 77,127,572,656.87/313,967.64
  6. Step 6: Final answer
    x = 245,654.53

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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.