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Finding the Fourth Proportional to 556,833.48, 835,342.56 and 182,769

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Solution

The fourth proportional to 556,833.48, 835,342.56 and 182,769 is: 274,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,833.48 : 835,342.56 = 182,769 : x
  2. Step 2: Convert to fraction form
    556,833.48/835,342.56 = 182,769/x
  3. Step 3: Cross multiply
    556,833.48x = 835,342.56 × 182,769
  4. Step 4: Simplify right side
    556,833.48x = 152,674,724,348.64
  5. Step 5: Solve for x
    x = 152,674,724,348.64/556,833.48
  6. Step 6: Final answer
    x = 274,183.81

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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.