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Finding the Fourth Proportional to 345,708, 477,208.26 and 232,596.36

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Solution

The fourth proportional to 345,708, 477,208.26 and 232,596.36 is: 321,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,708 : 477,208.26 = 232,596.36 : x
  2. Step 2: Convert to fraction form
    345,708/477,208.26 = 232,596.36/x
  3. Step 3: Cross multiply
    345,708x = 477,208.26 × 232,596.36
  4. Step 4: Simplify right side
    345,708x = 110,996,904,237.93
  5. Step 5: Solve for x
    x = 110,996,904,237.93/345,708
  6. Step 6: Final answer
    x = 321,071.26

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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.