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Finding the Fourth Proportional to 284,779.53, 427,833.63 and 166,534.11

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Solution

The fourth proportional to 284,779.53, 427,833.63 and 166,534.11 is: 250,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,779.53 : 427,833.63 = 166,534.11 : x
  2. Step 2: Convert to fraction form
    284,779.53/427,833.63 = 166,534.11/x
  3. Step 3: Cross multiply
    284,779.53x = 427,833.63 × 166,534.11
  4. Step 4: Simplify right side
    284,779.53x = 71,248,892,800.12
  5. Step 5: Solve for x
    x = 71,248,892,800.12/284,779.53
  6. Step 6: Final answer
    x = 250,189.66

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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.