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Finding the Fourth Proportional to 329,735.88, 455,017.50 and 186,524.64

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Solution

The fourth proportional to 329,735.88, 455,017.50 and 186,524.64 is: 257,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,735.88 : 455,017.50 = 186,524.64 : x
  2. Step 2: Convert to fraction form
    329,735.88/455,017.50 = 186,524.64/x
  3. Step 3: Cross multiply
    329,735.88x = 455,017.50 × 186,524.64
  4. Step 4: Simplify right side
    329,735.88x = 84,871,975,381.20
  5. Step 5: Solve for x
    x = 84,871,975,381.20/329,735.88
  6. Step 6: Final answer
    x = 257,393.81

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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.