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Finding the Fourth Proportional to 354,214.60, 531,321.90 and 144,003.40

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Solution

The fourth proportional to 354,214.60, 531,321.90 and 144,003.40 is: 216,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,214.60 : 531,321.90 = 144,003.40 : x
  2. Step 2: Convert to fraction form
    354,214.60/531,321.90 = 144,003.40/x
  3. Step 3: Cross multiply
    354,214.60x = 531,321.90 × 144,003.40
  4. Step 4: Simplify right side
    354,214.60x = 76,512,160,094.46
  5. Step 5: Solve for x
    x = 76,512,160,094.46/354,214.60
  6. Step 6: Final answer
    x = 216,005.10

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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.