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Finding the Fourth Proportional to 344,001.13, 515,870.47 and 164,054.77

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Solution

The fourth proportional to 344,001.13, 515,870.47 and 164,054.77 is: 246,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,001.13 : 515,870.47 = 164,054.77 : x
  2. Step 2: Convert to fraction form
    344,001.13/515,870.47 = 164,054.77/x
  3. Step 3: Cross multiply
    344,001.13x = 515,870.47 × 164,054.77
  4. Step 4: Simplify right side
    344,001.13x = 84,631,010,221.03
  5. Step 5: Solve for x
    x = 84,631,010,221.03/344,001.13
  6. Step 6: Final answer
    x = 246,019.57

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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.