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Finding the Fourth Proportional to 458,954.30, 633,354.90 and 255,038.42

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Solution

The fourth proportional to 458,954.30, 633,354.90 and 255,038.42 is: 351,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,954.30 : 633,354.90 = 255,038.42 : x
  2. Step 2: Convert to fraction form
    458,954.30/633,354.90 = 255,038.42/x
  3. Step 3: Cross multiply
    458,954.30x = 633,354.90 × 255,038.42
  4. Step 4: Simplify right side
    458,954.30x = 161,529,833,622.25
  5. Step 5: Solve for x
    x = 161,529,833,622.25/458,954.30
  6. Step 6: Final answer
    x = 351,951.89

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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.