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Finding the Fourth Proportional to 329,101.60, 493,652.40 and 294,109.60

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Solution

The fourth proportional to 329,101.60, 493,652.40 and 294,109.60 is: 441,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,101.60 : 493,652.40 = 294,109.60 : x
  2. Step 2: Convert to fraction form
    329,101.60/493,652.40 = 294,109.60/x
  3. Step 3: Cross multiply
    329,101.60x = 493,652.40 × 294,109.60
  4. Step 4: Simplify right side
    329,101.60x = 145,187,909,903.04
  5. Step 5: Solve for x
    x = 145,187,909,903.04/329,101.60
  6. Step 6: Final answer
    x = 441,164.40

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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.