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Finding the Fourth Proportional to 356,932.78, 534,347.23 and 312,646.03

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Solution

The fourth proportional to 356,932.78, 534,347.23 and 312,646.03 is: 468,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,932.78 : 534,347.23 = 312,646.03 : x
  2. Step 2: Convert to fraction form
    356,932.78/534,347.23 = 312,646.03/x
  3. Step 3: Cross multiply
    356,932.78x = 534,347.23 × 312,646.03
  4. Step 4: Simplify right side
    356,932.78x = 167,061,540,101.00
  5. Step 5: Solve for x
    x = 167,061,540,101.00/356,932.78
  6. Step 6: Final answer
    x = 468,047.63

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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.