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Finding the Fourth Proportional to 549,570.78, 824,408.42 and 170,495.64

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Solution

The fourth proportional to 549,570.78, 824,408.42 and 170,495.64 is: 255,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,570.78 : 824,408.42 = 170,495.64 : x
  2. Step 2: Convert to fraction form
    549,570.78/824,408.42 = 170,495.64/x
  3. Step 3: Cross multiply
    549,570.78x = 824,408.42 × 170,495.64
  4. Step 4: Simplify right side
    549,570.78x = 140,558,042,521.94
  5. Step 5: Solve for x
    x = 140,558,042,521.94/549,570.78
  6. Step 6: Final answer
    x = 255,759.67

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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.