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Finding the Fourth Proportional to 462,105.28, 693,152.40 and 146,564.88

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Solution

The fourth proportional to 462,105.28, 693,152.40 and 146,564.88 is: 219,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,105.28 : 693,152.40 = 146,564.88 : x
  2. Step 2: Convert to fraction form
    462,105.28/693,152.40 = 146,564.88/x
  3. Step 3: Cross multiply
    462,105.28x = 693,152.40 × 146,564.88
  4. Step 4: Simplify right side
    462,105.28x = 101,591,798,327.71
  5. Step 5: Solve for x
    x = 101,591,798,327.71/462,105.28
  6. Step 6: Final answer
    x = 219,845.57

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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.