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Finding the Fourth Proportional to 465,228.77, 697,835.05 and 254,751.89

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Solution

The fourth proportional to 465,228.77, 697,835.05 and 254,751.89 is: 382,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,228.77 : 697,835.05 = 254,751.89 : x
  2. Step 2: Convert to fraction form
    465,228.77/697,835.05 = 254,751.89/x
  3. Step 3: Cross multiply
    465,228.77x = 697,835.05 × 254,751.89
  4. Step 4: Simplify right side
    465,228.77x = 177,774,793,769.69
  5. Step 5: Solve for x
    x = 177,774,793,769.69/465,228.77
  6. Step 6: Final answer
    x = 382,123.39

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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.