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Finding the Fourth Proportional to 469,010.30, 702,997.05 and 258,799.10

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Solution

The fourth proportional to 469,010.30, 702,997.05 and 258,799.10 is: 387,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,010.30 : 702,997.05 = 258,799.10 : x
  2. Step 2: Convert to fraction form
    469,010.30/702,997.05 = 258,799.10/x
  3. Step 3: Cross multiply
    469,010.30x = 702,997.05 × 258,799.10
  4. Step 4: Simplify right side
    469,010.30x = 181,935,003,842.66
  5. Step 5: Solve for x
    x = 181,935,003,842.66/469,010.30
  6. Step 6: Final answer
    x = 387,912.60

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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.