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Finding the Fourth Proportional to 475,871.48, 656,453.88 and 282,166.44

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Solution

The fourth proportional to 475,871.48, 656,453.88 and 282,166.44 is: 389,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,871.48 : 656,453.88 = 282,166.44 : x
  2. Step 2: Convert to fraction form
    475,871.48/656,453.88 = 282,166.44/x
  3. Step 3: Cross multiply
    475,871.48x = 656,453.88 × 282,166.44
  4. Step 4: Simplify right side
    475,871.48x = 185,229,254,343.79
  5. Step 5: Solve for x
    x = 185,229,254,343.79/475,871.48
  6. Step 6: Final answer
    x = 389,242.18

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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.