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Finding the Fourth Proportional to 465,985.87, 699,125.61 and 166,459.82

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Solution

The fourth proportional to 465,985.87, 699,125.61 and 166,459.82 is: 249,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,985.87 : 699,125.61 = 166,459.82 : x
  2. Step 2: Convert to fraction form
    465,985.87/699,125.61 = 166,459.82/x
  3. Step 3: Cross multiply
    465,985.87x = 699,125.61 × 166,459.82
  4. Step 4: Simplify right side
    465,985.87x = 116,376,320,326.59
  5. Step 5: Solve for x
    x = 116,376,320,326.59/465,985.87
  6. Step 6: Final answer
    x = 249,742.17

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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.