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Finding the Fourth Proportional to 549,874.54, 824,940.87 and 170,775.64

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Solution

The fourth proportional to 549,874.54, 824,940.87 and 170,775.64 is: 256,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,874.54 : 824,940.87 = 170,775.64 : x
  2. Step 2: Convert to fraction form
    549,874.54/824,940.87 = 170,775.64/x
  3. Step 3: Cross multiply
    549,874.54x = 824,940.87 × 170,775.64
  4. Step 4: Simplify right side
    549,874.54x = 140,879,805,036.41
  5. Step 5: Solve for x
    x = 140,879,805,036.41/549,874.54
  6. Step 6: Final answer
    x = 256,203.54

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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.