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Finding the Fourth Proportional to 302,495.60, 453,743.40 and 196,207.40

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Solution

The fourth proportional to 302,495.60, 453,743.40 and 196,207.40 is: 294,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,495.60 : 453,743.40 = 196,207.40 : x
  2. Step 2: Convert to fraction form
    302,495.60/453,743.40 = 196,207.40/x
  3. Step 3: Cross multiply
    302,495.60x = 453,743.40 × 196,207.40
  4. Step 4: Simplify right side
    302,495.60x = 89,027,812,781.16
  5. Step 5: Solve for x
    x = 89,027,812,781.16/302,495.60
  6. Step 6: Final answer
    x = 294,311.10

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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.