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Finding the Fourth Proportional to 317,770.86, 476,929.65 and 184,465.92

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Solution

The fourth proportional to 317,770.86, 476,929.65 and 184,465.92 is: 276,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,770.86 : 476,929.65 = 184,465.92 : x
  2. Step 2: Convert to fraction form
    317,770.86/476,929.65 = 184,465.92/x
  3. Step 3: Cross multiply
    317,770.86x = 476,929.65 × 184,465.92
  4. Step 4: Simplify right side
    317,770.86x = 87,977,266,662.53
  5. Step 5: Solve for x
    x = 87,977,266,662.53/317,770.86
  6. Step 6: Final answer
    x = 276,857.57

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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.