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Finding the Fourth Proportional to 475,580.92, 656,328.44 and 282,103.36

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Solution

The fourth proportional to 475,580.92, 656,328.44 and 282,103.36 is: 389,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,580.92 : 656,328.44 = 282,103.36 : x
  2. Step 2: Convert to fraction form
    475,580.92/656,328.44 = 282,103.36/x
  3. Step 3: Cross multiply
    475,580.92x = 656,328.44 × 282,103.36
  4. Step 4: Simplify right side
    475,580.92x = 185,152,458,187.56
  5. Step 5: Solve for x
    x = 185,152,458,187.56/475,580.92
  6. Step 6: Final answer
    x = 389,318.52

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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.