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Finding the Fourth Proportional to 317,010.33, 475,577.78 and 117,332.42

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Solution

The fourth proportional to 317,010.33, 475,577.78 and 117,332.42 is: 176,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,010.33 : 475,577.78 = 117,332.42 : x
  2. Step 2: Convert to fraction form
    317,010.33/475,577.78 = 117,332.42/x
  3. Step 3: Cross multiply
    317,010.33x = 475,577.78 × 117,332.42
  4. Step 4: Simplify right side
    317,010.33x = 55,800,688,861.08
  5. Step 5: Solve for x
    x = 55,800,688,861.08/317,010.33
  6. Step 6: Final answer
    x = 176,021.67

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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.