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Finding the Fourth Proportional to 601,465.40, 902,209.49 and 196,657.77

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Solution

The fourth proportional to 601,465.40, 902,209.49 and 196,657.77 is: 294,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,465.40 : 902,209.49 = 196,657.77 : x
  2. Step 2: Convert to fraction form
    601,465.40/902,209.49 = 196,657.77/x
  3. Step 3: Cross multiply
    601,465.40x = 902,209.49 × 196,657.77
  4. Step 4: Simplify right side
    601,465.40x = 177,426,509,513.70
  5. Step 5: Solve for x
    x = 177,426,509,513.70/601,465.40
  6. Step 6: Final answer
    x = 294,990.38

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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.