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Finding the Fourth Proportional to 501,406.26, 752,035.53 and 164,482.51

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Solution

The fourth proportional to 501,406.26, 752,035.53 and 164,482.51 is: 246,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,406.26 : 752,035.53 = 164,482.51 : x
  2. Step 2: Convert to fraction form
    501,406.26/752,035.53 = 164,482.51/x
  3. Step 3: Cross multiply
    501,406.26x = 752,035.53 × 164,482.51
  4. Step 4: Simplify right side
    501,406.26x = 123,696,691,583.58
  5. Step 5: Solve for x
    x = 123,696,691,583.58/501,406.26
  6. Step 6: Final answer
    x = 246,699.54

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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.