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Finding the Fourth Proportional to 305,472.60, 458,024.64 and 136,962.42

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Solution

The fourth proportional to 305,472.60, 458,024.64 and 136,962.42 is: 205,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,472.60 : 458,024.64 = 136,962.42 : x
  2. Step 2: Convert to fraction form
    305,472.60/458,024.64 = 136,962.42/x
  3. Step 3: Cross multiply
    305,472.60x = 458,024.64 × 136,962.42
  4. Step 4: Simplify right side
    305,472.60x = 62,732,163,114.03
  5. Step 5: Solve for x
    x = 62,732,163,114.03/305,472.60
  6. Step 6: Final answer
    x = 205,361.01

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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.