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Finding the Fourth Proportional to 417,999.96, 626,802.42 and 161,952.48

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Solution

The fourth proportional to 417,999.96, 626,802.42 and 161,952.48 is: 242,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,999.96 : 626,802.42 = 161,952.48 : x
  2. Step 2: Convert to fraction form
    417,999.96/626,802.42 = 161,952.48/x
  3. Step 3: Cross multiply
    417,999.96x = 626,802.42 × 161,952.48
  4. Step 4: Simplify right side
    417,999.96x = 101,512,206,996.32
  5. Step 5: Solve for x
    x = 101,512,206,996.32/417,999.96
  6. Step 6: Final answer
    x = 242,852.19

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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.