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Finding the Fourth Proportional to 432,414.36, 648,656.10 and 151,994.52

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Solution

The fourth proportional to 432,414.36, 648,656.10 and 151,994.52 is: 228,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,414.36 : 648,656.10 = 151,994.52 : x
  2. Step 2: Convert to fraction form
    432,414.36/648,656.10 = 151,994.52/x
  3. Step 3: Cross multiply
    432,414.36x = 648,656.10 × 151,994.52
  4. Step 4: Simplify right side
    432,414.36x = 98,592,172,564.57
  5. Step 5: Solve for x
    x = 98,592,172,564.57/432,414.36
  6. Step 6: Final answer
    x = 228,003.93

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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.