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Finding the Fourth Proportional to 427,458.73, 589,888.61 and 233,864.61

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Solution

The fourth proportional to 427,458.73, 589,888.61 and 233,864.61 is: 322,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,458.73 : 589,888.61 = 233,864.61 : x
  2. Step 2: Convert to fraction form
    427,458.73/589,888.61 = 233,864.61/x
  3. Step 3: Cross multiply
    427,458.73x = 589,888.61 × 233,864.61
  4. Step 4: Simplify right side
    427,458.73x = 137,954,065,602.33
  5. Step 5: Solve for x
    x = 137,954,065,602.33/427,458.73
  6. Step 6: Final answer
    x = 322,730.73

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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.