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Finding the Fourth Proportional to 427,032.39, 589,304.83 and 233,440.95

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Solution

The fourth proportional to 427,032.39, 589,304.83 and 233,440.95 is: 322,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,032.39 : 589,304.83 = 233,440.95 : x
  2. Step 2: Convert to fraction form
    427,032.39/589,304.83 = 233,440.95/x
  3. Step 3: Cross multiply
    427,032.39x = 589,304.83 × 233,440.95
  4. Step 4: Simplify right side
    427,032.39x = 137,567,879,260.92
  5. Step 5: Solve for x
    x = 137,567,879,260.92/427,032.39
  6. Step 6: Final answer
    x = 322,148.58

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1.5x scale

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.