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Finding the Fourth Proportional to 475,596.96, 656,350.56 and 282,119.36

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Solution

The fourth proportional to 475,596.96, 656,350.56 and 282,119.36 is: 389,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,596.96 : 656,350.56 = 282,119.36 : x
  2. Step 2: Convert to fraction form
    475,596.96/656,350.56 = 282,119.36/x
  3. Step 3: Cross multiply
    475,596.96x = 656,350.56 × 282,119.36
  4. Step 4: Simplify right side
    475,596.96x = 185,169,199,922.84
  5. Step 5: Solve for x
    x = 185,169,199,922.84/475,596.96
  6. Step 6: Final answer
    x = 389,340.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.