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Finding the Fourth Proportional to 270,684.60, 406,166.88 and 196,417.02

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Solution

The fourth proportional to 270,684.60, 406,166.88 and 196,417.02 is: 294,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,684.60 : 406,166.88 = 196,417.02 : x
  2. Step 2: Convert to fraction form
    270,684.60/406,166.88 = 196,417.02/x
  3. Step 3: Cross multiply
    270,684.60x = 406,166.88 × 196,417.02
  4. Step 4: Simplify right side
    270,684.60x = 79,778,088,192.30
  5. Step 5: Solve for x
    x = 79,778,088,192.30/270,684.60
  6. Step 6: Final answer
    x = 294,727.10

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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.