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Finding the Fourth Proportional to 384,955.40, 576,741.90 and 329,659.40

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Solution

The fourth proportional to 384,955.40, 576,741.90 and 329,659.40 is: 493,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,955.40 : 576,741.90 = 329,659.40 : x
  2. Step 2: Convert to fraction form
    384,955.40/576,741.90 = 329,659.40/x
  3. Step 3: Cross multiply
    384,955.40x = 576,741.90 × 329,659.40
  4. Step 4: Simplify right side
    384,955.40x = 190,128,388,708.86
  5. Step 5: Solve for x
    x = 190,128,388,708.86/384,955.40
  6. Step 6: Final answer
    x = 493,897.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.