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Finding the Fourth Proportional to 302,779.82, 417,834.19 and 166,810.62

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Solution

The fourth proportional to 302,779.82, 417,834.19 and 166,810.62 is: 230,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,779.82 : 417,834.19 = 166,810.62 : x
  2. Step 2: Convert to fraction form
    302,779.82/417,834.19 = 166,810.62/x
  3. Step 3: Cross multiply
    302,779.82x = 417,834.19 × 166,810.62
  4. Step 4: Simplify right side
    302,779.82x = 69,699,180,291.10
  5. Step 5: Solve for x
    x = 69,699,180,291.10/302,779.82
  6. Step 6: Final answer
    x = 230,197.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.