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Finding the Fourth Proportional to 432,735.94, 597,198.46 and 260,708.07

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Solution

The fourth proportional to 432,735.94, 597,198.46 and 260,708.07 is: 359,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,735.94 : 597,198.46 = 260,708.07 : x
  2. Step 2: Convert to fraction form
    432,735.94/597,198.46 = 260,708.07/x
  3. Step 3: Cross multiply
    432,735.94x = 597,198.46 × 260,708.07
  4. Step 4: Simplify right side
    432,735.94x = 155,694,457,364.12
  5. Step 5: Solve for x
    x = 155,694,457,364.12/432,735.94
  6. Step 6: Final answer
    x = 359,790.91

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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.