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Finding the Fourth Proportional to 294,458.67, 406,362.97 and 165,419.94

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Solution

The fourth proportional to 294,458.67, 406,362.97 and 165,419.94 is: 228,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,458.67 : 406,362.97 = 165,419.94 : x
  2. Step 2: Convert to fraction form
    294,458.67/406,362.97 = 165,419.94/x
  3. Step 3: Cross multiply
    294,458.67x = 406,362.97 × 165,419.94
  4. Step 4: Simplify right side
    294,458.67x = 67,220,538,115.62
  5. Step 5: Solve for x
    x = 67,220,538,115.62/294,458.67
  6. Step 6: Final answer
    x = 228,285.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.