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Finding the Fourth Proportional to 454,779.86, 682,242.08 and 151,184.77

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Solution

The fourth proportional to 454,779.86, 682,242.08 and 151,184.77 is: 226,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,779.86 : 682,242.08 = 151,184.77 : x
  2. Step 2: Convert to fraction form
    454,779.86/682,242.08 = 151,184.77/x
  3. Step 3: Cross multiply
    454,779.86x = 682,242.08 × 151,184.77
  4. Step 4: Simplify right side
    454,779.86x = 103,144,609,487.59
  5. Step 5: Solve for x
    x = 103,144,609,487.59/454,779.86
  6. Step 6: Final answer
    x = 226,801.18

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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.