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Finding the Fourth Proportional to 432,402.60, 648,258.30 and 182,879.40

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Solution

The fourth proportional to 432,402.60, 648,258.30 and 182,879.40 is: 274,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,402.60 : 648,258.30 = 182,879.40 : x
  2. Step 2: Convert to fraction form
    432,402.60/648,258.30 = 182,879.40/x
  3. Step 3: Cross multiply
    432,402.60x = 648,258.30 × 182,879.40
  4. Step 4: Simplify right side
    432,402.60x = 118,553,088,949.02
  5. Step 5: Solve for x
    x = 118,553,088,949.02/432,402.60
  6. Step 6: Final answer
    x = 274,172.93

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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.