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Finding the Fourth Proportional to 462,097.94, 693,166.35 and 225,649.22

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Solution

The fourth proportional to 462,097.94, 693,166.35 and 225,649.22 is: 338,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,097.94 : 693,166.35 = 225,649.22 : x
  2. Step 2: Convert to fraction form
    462,097.94/693,166.35 = 225,649.22/x
  3. Step 3: Cross multiply
    462,097.94x = 693,166.35 × 225,649.22
  4. Step 4: Simplify right side
    462,097.94x = 156,412,446,207.75
  5. Step 5: Solve for x
    x = 156,412,446,207.75/462,097.94
  6. Step 6: Final answer
    x = 338,483.32

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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.