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Finding the Fourth Proportional to 432,494.60, 648,644.70 and 283,778.60

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Solution

The fourth proportional to 432,494.60, 648,644.70 and 283,778.60 is: 425,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,494.60 : 648,644.70 = 283,778.60 : x
  2. Step 2: Convert to fraction form
    432,494.60/648,644.70 = 283,778.60/x
  3. Step 3: Cross multiply
    432,494.60x = 648,644.70 × 283,778.60
  4. Step 4: Simplify right side
    432,494.60x = 184,071,484,863.42
  5. Step 5: Solve for x
    x = 184,071,484,863.42/432,494.60
  6. Step 6: Final answer
    x = 425,604.12

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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.