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Finding the Fourth Proportional to 473,093.64, 652,863.78 and 258,231.96

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Solution

The fourth proportional to 473,093.64, 652,863.78 and 258,231.96 is: 356,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,093.64 : 652,863.78 = 258,231.96 : x
  2. Step 2: Convert to fraction form
    473,093.64/652,863.78 = 258,231.96/x
  3. Step 3: Cross multiply
    473,093.64x = 652,863.78 × 258,231.96
  4. Step 4: Simplify right side
    473,093.64x = 168,590,293,522.41
  5. Step 5: Solve for x
    x = 168,590,293,522.41/473,093.64
  6. Step 6: Final answer
    x = 356,357.13

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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.