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Finding the Fourth Proportional to 453,955.20, 680,932.80 and 232,771.20

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Solution

The fourth proportional to 453,955.20, 680,932.80 and 232,771.20 is: 349,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,955.20 : 680,932.80 = 232,771.20 : x
  2. Step 2: Convert to fraction form
    453,955.20/680,932.80 = 232,771.20/x
  3. Step 3: Cross multiply
    453,955.20x = 680,932.80 × 232,771.20
  4. Step 4: Simplify right side
    453,955.20x = 158,501,544,975.36
  5. Step 5: Solve for x
    x = 158,501,544,975.36/453,955.20
  6. Step 6: Final answer
    x = 349,156.80

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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.