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Finding the Fourth Proportional to 655,147.09, 982,748.58 and 228,725.83

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Solution

The fourth proportional to 655,147.09, 982,748.58 and 228,725.83 is: 343,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,147.09 : 982,748.58 = 228,725.83 : x
  2. Step 2: Convert to fraction form
    655,147.09/982,748.58 = 228,725.83/x
  3. Step 3: Cross multiply
    655,147.09x = 982,748.58 × 228,725.83
  4. Step 4: Simplify right side
    655,147.09x = 224,779,984,641.82
  5. Step 5: Solve for x
    x = 224,779,984,641.82/655,147.09
  6. Step 6: Final answer
    x = 343,098.50

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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.