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Finding the Fourth Proportional to 293,245.34, 438,048.56 and 212,643.48

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Solution

The fourth proportional to 293,245.34, 438,048.56 and 212,643.48 is: 317,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,245.34 : 438,048.56 = 212,643.48 : x
  2. Step 2: Convert to fraction form
    293,245.34/438,048.56 = 212,643.48/x
  3. Step 3: Cross multiply
    293,245.34x = 438,048.56 × 212,643.48
  4. Step 4: Simplify right side
    293,245.34x = 93,148,170,207.39
  5. Step 5: Solve for x
    x = 93,148,170,207.39/293,245.34
  6. Step 6: Final answer
    x = 317,645.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.