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Finding the Fourth Proportional to 601,749.28, 830,423.82 and 329,843.26

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Solution

The fourth proportional to 601,749.28, 830,423.82 and 329,843.26 is: 455,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,749.28 : 830,423.82 = 329,843.26 : x
  2. Step 2: Convert to fraction form
    601,749.28/830,423.82 = 329,843.26/x
  3. Step 3: Cross multiply
    601,749.28x = 830,423.82 × 329,843.26
  4. Step 4: Simplify right side
    601,749.28x = 273,909,699,970.45
  5. Step 5: Solve for x
    x = 273,909,699,970.45/601,749.28
  6. Step 6: Final answer
    x = 455,189.08

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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.