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Finding the Fourth Proportional to 465,182.60, 697,330.94 and 149,418.12

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Solution

The fourth proportional to 465,182.60, 697,330.94 and 149,418.12 is: 223,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,182.60 : 697,330.94 = 149,418.12 : x
  2. Step 2: Convert to fraction form
    465,182.60/697,330.94 = 149,418.12/x
  3. Step 3: Cross multiply
    465,182.60x = 697,330.94 × 149,418.12
  4. Step 4: Simplify right side
    465,182.60x = 104,193,878,072.63
  5. Step 5: Solve for x
    x = 104,193,878,072.63/465,182.60
  6. Step 6: Final answer
    x = 223,984.90

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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.