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Finding the Fourth Proportional to 465,995, 698,814.90 and 166,419.64

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Solution

The fourth proportional to 465,995, 698,814.90 and 166,419.64 is: 249,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,995 : 698,814.90 = 166,419.64 : x
  2. Step 2: Convert to fraction form
    465,995/698,814.90 = 166,419.64/x
  3. Step 3: Cross multiply
    465,995x = 698,814.90 × 166,419.64
  4. Step 4: Simplify right side
    465,995x = 116,296,524,084.64
  5. Step 5: Solve for x
    x = 116,296,524,084.64/465,995
  6. Step 6: Final answer
    x = 249,566.03

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1.5x scale

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.