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Finding the Fourth Proportional to 328,779.87, 492,773.23 and 160,047.28

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Solution

The fourth proportional to 328,779.87, 492,773.23 and 160,047.28 is: 239,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,779.87 : 492,773.23 = 160,047.28 : x
  2. Step 2: Convert to fraction form
    328,779.87/492,773.23 = 160,047.28/x
  3. Step 3: Cross multiply
    328,779.87x = 492,773.23 × 160,047.28
  4. Step 4: Simplify right side
    328,779.87x = 78,867,015,118.31
  5. Step 5: Solve for x
    x = 78,867,015,118.31/328,779.87
  6. Step 6: Final answer
    x = 239,877.87

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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.