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Finding the Fourth Proportional to 412,802.56, 619,204.38 and 113,287.24

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Solution

The fourth proportional to 412,802.56, 619,204.38 and 113,287.24 is: 169,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,802.56 : 619,204.38 = 113,287.24 : x
  2. Step 2: Convert to fraction form
    412,802.56/619,204.38 = 113,287.24/x
  3. Step 3: Cross multiply
    412,802.56x = 619,204.38 × 113,287.24
  4. Step 4: Simplify right side
    412,802.56x = 70,147,955,206.11
  5. Step 5: Solve for x
    x = 70,147,955,206.11/412,802.56
  6. Step 6: Final answer
    x = 169,931.01

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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.