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Finding the Fourth Proportional to 453,343.68, 680,007.84 and 157,848

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Solution

The fourth proportional to 453,343.68, 680,007.84 and 157,848 is: 236,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,343.68 : 680,007.84 = 157,848 : x
  2. Step 2: Convert to fraction form
    453,343.68/680,007.84 = 157,848/x
  3. Step 3: Cross multiply
    453,343.68x = 680,007.84 × 157,848
  4. Step 4: Simplify right side
    453,343.68x = 107,337,877,528.32
  5. Step 5: Solve for x
    x = 107,337,877,528.32/453,343.68
  6. Step 6: Final answer
    x = 236,769.33

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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.