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Finding the Fourth Proportional to 497,773.69, 746,596.98 and 160,779.33

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Solution

The fourth proportional to 497,773.69, 746,596.98 and 160,779.33 is: 241,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,773.69 : 746,596.98 = 160,779.33 : x
  2. Step 2: Convert to fraction form
    497,773.69/746,596.98 = 160,779.33/x
  3. Step 3: Cross multiply
    497,773.69x = 746,596.98 × 160,779.33
  4. Step 4: Simplify right side
    497,773.69x = 120,037,362,224.42
  5. Step 5: Solve for x
    x = 120,037,362,224.42/497,773.69
  6. Step 6: Final answer
    x = 241,148.47

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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.