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Finding the Fourth Proportional to 256,779.65, 385,543.36 and 182,295.29

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Solution

The fourth proportional to 256,779.65, 385,543.36 and 182,295.29 is: 273,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,779.65 : 385,543.36 = 182,295.29 : x
  2. Step 2: Convert to fraction form
    256,779.65/385,543.36 = 182,295.29/x
  3. Step 3: Cross multiply
    256,779.65x = 385,543.36 × 182,295.29
  4. Step 4: Simplify right side
    256,779.65x = 70,282,739,810.50
  5. Step 5: Solve for x
    x = 70,282,739,810.50/256,779.65
  6. Step 6: Final answer
    x = 273,708.37

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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.