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Finding the Fourth Proportional to 465,048, 697,675.68 and 169,560

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Solution

The fourth proportional to 465,048, 697,675.68 and 169,560 is: 254,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,048 : 697,675.68 = 169,560 : x
  2. Step 2: Convert to fraction form
    465,048/697,675.68 = 169,560/x
  3. Step 3: Cross multiply
    465,048x = 697,675.68 × 169,560
  4. Step 4: Simplify right side
    465,048x = 118,297,888,300.80
  5. Step 5: Solve for x
    x = 118,297,888,300.80/465,048
  6. Step 6: Final answer
    x = 254,377.80

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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.