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Finding the Fourth Proportional to 601,736.96, 830,403.52 and 329,799

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Solution

The fourth proportional to 601,736.96, 830,403.52 and 329,799 is: 455,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,736.96 : 830,403.52 = 329,799 : x
  2. Step 2: Convert to fraction form
    601,736.96/830,403.52 = 329,799/x
  3. Step 3: Cross multiply
    601,736.96x = 830,403.52 × 329,799
  4. Step 4: Simplify right side
    601,736.96x = 273,866,250,492.48
  5. Step 5: Solve for x
    x = 273,866,250,492.48/601,736.96
  6. Step 6: Final answer
    x = 455,126.19

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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.