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Finding the Fourth Proportional to 549,867.42, 824,682.33 and 194,893.02

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Solution

The fourth proportional to 549,867.42, 824,682.33 and 194,893.02 is: 292,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,867.42 : 824,682.33 = 194,893.02 : x
  2. Step 2: Convert to fraction form
    549,867.42/824,682.33 = 194,893.02/x
  3. Step 3: Cross multiply
    549,867.42x = 824,682.33 × 194,893.02
  4. Step 4: Simplify right side
    549,867.42x = 160,724,829,834.34
  5. Step 5: Solve for x
    x = 160,724,829,834.34/549,867.42
  6. Step 6: Final answer
    x = 292,297.42

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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.