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Finding the Fourth Proportional to 287,430.12, 396,657.68 and 164,942.46

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Solution

The fourth proportional to 287,430.12, 396,657.68 and 164,942.46 is: 227,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,430.12 : 396,657.68 = 164,942.46 : x
  2. Step 2: Convert to fraction form
    287,430.12/396,657.68 = 164,942.46/x
  3. Step 3: Cross multiply
    287,430.12x = 396,657.68 × 164,942.46
  4. Step 4: Simplify right side
    287,430.12x = 65,425,692,692.38
  5. Step 5: Solve for x
    x = 65,425,692,692.38/287,430.12
  6. Step 6: Final answer
    x = 227,622.95

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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.