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Finding the Fourth Proportional to 397,081.62, 547,985.83 and 233,708.51

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Solution

The fourth proportional to 397,081.62, 547,985.83 and 233,708.51 is: 322,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,081.62 : 547,985.83 = 233,708.51 : x
  2. Step 2: Convert to fraction form
    397,081.62/547,985.83 = 233,708.51/x
  3. Step 3: Cross multiply
    397,081.62x = 547,985.83 × 233,708.51
  4. Step 4: Simplify right side
    397,081.62x = 128,068,951,830.41
  5. Step 5: Solve for x
    x = 128,068,951,830.41/397,081.62
  6. Step 6: Final answer
    x = 322,525.51

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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.