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Finding the Fourth Proportional to 306,558.60, 459,852.30 and 96,203.40

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Solution

The fourth proportional to 306,558.60, 459,852.30 and 96,203.40 is: 144,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,558.60 : 459,852.30 = 96,203.40 : x
  2. Step 2: Convert to fraction form
    306,558.60/459,852.30 = 96,203.40/x
  3. Step 3: Cross multiply
    306,558.60x = 459,852.30 × 96,203.40
  4. Step 4: Simplify right side
    306,558.60x = 44,239,354,757.82
  5. Step 5: Solve for x
    x = 44,239,354,757.82/306,558.60
  6. Step 6: Final answer
    x = 144,309.62

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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.