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Finding the Fourth Proportional to 465,842.34, 698,911.20 and 166,316.40

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Solution

The fourth proportional to 465,842.34, 698,911.20 and 166,316.40 is: 249,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,842.34 : 698,911.20 = 166,316.40 : x
  2. Step 2: Convert to fraction form
    465,842.34/698,911.20 = 166,316.40/x
  3. Step 3: Cross multiply
    465,842.34x = 698,911.20 × 166,316.40
  4. Step 4: Simplify right side
    465,842.34x = 116,240,394,703.68
  5. Step 5: Solve for x
    x = 116,240,394,703.68/465,842.34
  6. Step 6: Final answer
    x = 249,527.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.