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Finding the Fourth Proportional to 465,987.51, 699,128.08 and 166,461.46

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Solution

The fourth proportional to 465,987.51, 699,128.08 and 166,461.46 is: 249,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,987.51 : 699,128.08 = 166,461.46 : x
  2. Step 2: Convert to fraction form
    465,987.51/699,128.08 = 166,461.46/x
  3. Step 3: Cross multiply
    465,987.51x = 699,128.08 × 166,461.46
  4. Step 4: Simplify right side
    465,987.51x = 116,377,878,759.82
  5. Step 5: Solve for x
    x = 116,377,878,759.82/465,987.51
  6. Step 6: Final answer
    x = 249,744.63

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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.