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Finding the Fourth Proportional to 333,091.85, 459,693.23 and 212,287.37

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Solution

The fourth proportional to 333,091.85, 459,693.23 and 212,287.37 is: 292,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,091.85 : 459,693.23 = 212,287.37 : x
  2. Step 2: Convert to fraction form
    333,091.85/459,693.23 = 212,287.37/x
  3. Step 3: Cross multiply
    333,091.85x = 459,693.23 × 212,287.37
  4. Step 4: Simplify right side
    333,091.85x = 97,587,063,443.60
  5. Step 5: Solve for x
    x = 97,587,063,443.60/333,091.85
  6. Step 6: Final answer
    x = 292,973.44

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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.