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Finding the Fourth Proportional to 465,816.90, 698,872.98 and 166,290.85

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Solution

The fourth proportional to 465,816.90, 698,872.98 and 166,290.85 is: 249,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,816.90 : 698,872.98 = 166,290.85 : x
  2. Step 2: Convert to fraction form
    465,816.90/698,872.98 = 166,290.85/x
  3. Step 3: Cross multiply
    465,816.90x = 698,872.98 × 166,290.85
  4. Step 4: Simplify right side
    465,816.90x = 116,216,181,886.23
  5. Step 5: Solve for x
    x = 116,216,181,886.23/465,816.90
  6. Step 6: Final answer
    x = 249,488.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.