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Finding the Fourth Proportional to 298,064.98, 411,121.47 and 202,405.60

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Solution

The fourth proportional to 298,064.98, 411,121.47 and 202,405.60 is: 279,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,064.98 : 411,121.47 = 202,405.60 : x
  2. Step 2: Convert to fraction form
    298,064.98/411,121.47 = 202,405.60/x
  3. Step 3: Cross multiply
    298,064.98x = 411,121.47 × 202,405.60
  4. Step 4: Simplify right side
    298,064.98x = 83,213,287,808.23
  5. Step 5: Solve for x
    x = 83,213,287,808.23/298,064.98
  6. Step 6: Final answer
    x = 279,178.34

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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.