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Finding the Fourth Proportional to 427,292.57, 589,639.73 and 233,661.84

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Solution

The fourth proportional to 427,292.57, 589,639.73 and 233,661.84 is: 322,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,292.57 : 589,639.73 = 233,661.84 : x
  2. Step 2: Convert to fraction form
    427,292.57/589,639.73 = 233,661.84/x
  3. Step 3: Cross multiply
    427,292.57x = 589,639.73 × 233,661.84
  4. Step 4: Simplify right side
    427,292.57x = 137,776,303,080.59
  5. Step 5: Solve for x
    x = 137,776,303,080.59/427,292.57
  6. Step 6: Final answer
    x = 322,440.21

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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.