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Finding the Fourth Proportional to 462,294.56, 693,407.28 and 166,806.56

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Solution

The fourth proportional to 462,294.56, 693,407.28 and 166,806.56 is: 250,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,294.56 : 693,407.28 = 166,806.56 : x
  2. Step 2: Convert to fraction form
    462,294.56/693,407.28 = 166,806.56/x
  3. Step 3: Cross multiply
    462,294.56x = 693,407.28 × 166,806.56
  4. Step 4: Simplify right side
    462,294.56x = 115,664,883,055.76
  5. Step 5: Solve for x
    x = 115,664,883,055.76/462,294.56
  6. Step 6: Final answer
    x = 250,197.37

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1.5x scale

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.