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Finding the Fourth Proportional to 305,829.40, 458,744.10 and 128,682.40

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Solution

The fourth proportional to 305,829.40, 458,744.10 and 128,682.40 is: 193,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,829.40 : 458,744.10 = 128,682.40 : x
  2. Step 2: Convert to fraction form
    305,829.40/458,744.10 = 128,682.40/x
  3. Step 3: Cross multiply
    305,829.40x = 458,744.10 × 128,682.40
  4. Step 4: Simplify right side
    305,829.40x = 59,032,291,773.84
  5. Step 5: Solve for x
    x = 59,032,291,773.84/305,829.40
  6. Step 6: Final answer
    x = 193,023.60

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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.