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Finding the Fourth Proportional to 469,892.84, 648,458.34 and 255,035.48

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Solution

The fourth proportional to 469,892.84, 648,458.34 and 255,035.48 is: 351,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,892.84 : 648,458.34 = 255,035.48 : x
  2. Step 2: Convert to fraction form
    469,892.84/648,458.34 = 255,035.48/x
  3. Step 3: Cross multiply
    469,892.84x = 648,458.34 × 255,035.48
  4. Step 4: Simplify right side
    469,892.84x = 165,379,884,001.90
  5. Step 5: Solve for x
    x = 165,379,884,001.90/469,892.84
  6. Step 6: Final answer
    x = 351,952.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.