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Finding the Fourth Proportional to 601,091.28, 829,448.52 and 359,325.84

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Solution

The fourth proportional to 601,091.28, 829,448.52 and 359,325.84 is: 495,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,091.28 : 829,448.52 = 359,325.84 : x
  2. Step 2: Convert to fraction form
    601,091.28/829,448.52 = 359,325.84/x
  3. Step 3: Cross multiply
    601,091.28x = 829,448.52 × 359,325.84
  4. Step 4: Simplify right side
    601,091.28x = 298,042,286,185.76
  5. Step 5: Solve for x
    x = 298,042,286,185.76/601,091.28
  6. Step 6: Final answer
    x = 495,835.32

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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.