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Finding the Fourth Proportional to 475,123.08, 655,648.38 and 284,241.72

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Solution

The fourth proportional to 475,123.08, 655,648.38 and 284,241.72 is: 392,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,123.08 : 655,648.38 = 284,241.72 : x
  2. Step 2: Convert to fraction form
    475,123.08/655,648.38 = 284,241.72/x
  3. Step 3: Cross multiply
    475,123.08x = 655,648.38 × 284,241.72
  4. Step 4: Simplify right side
    475,123.08x = 186,362,623,246.41
  5. Step 5: Solve for x
    x = 186,362,623,246.41/475,123.08
  6. Step 6: Final answer
    x = 392,240.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.