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Finding the Fourth Proportional to 488,090.43, 731,964.06 and 146,431.98

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Solution

The fourth proportional to 488,090.43, 731,964.06 and 146,431.98 is: 219,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,090.43 : 731,964.06 = 146,431.98 : x
  2. Step 2: Convert to fraction form
    488,090.43/731,964.06 = 146,431.98/x
  3. Step 3: Cross multiply
    488,090.43x = 731,964.06 × 146,431.98
  4. Step 4: Simplify right side
    488,090.43x = 107,182,946,594.64
  5. Step 5: Solve for x
    x = 107,182,946,594.64/488,090.43
  6. Step 6: Final answer
    x = 219,596.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.