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Finding the Fourth Proportional to 317,668.22, 476,133.08 and 117,861.16

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Solution

The fourth proportional to 317,668.22, 476,133.08 and 117,861.16 is: 176,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,668.22 : 476,133.08 = 117,861.16 : x
  2. Step 2: Convert to fraction form
    317,668.22/476,133.08 = 117,861.16/x
  3. Step 3: Cross multiply
    317,668.22x = 476,133.08 × 117,861.16
  4. Step 4: Simplify right side
    317,668.22x = 56,117,597,123.17
  5. Step 5: Solve for x
    x = 56,117,597,123.17/317,668.22
  6. Step 6: Final answer
    x = 176,654.74

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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.