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Finding the Fourth Proportional to 465,251.70, 697,999.05 and 149,716.20

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Solution

The fourth proportional to 465,251.70, 697,999.05 and 149,716.20 is: 224,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,251.70 : 697,999.05 = 149,716.20 : x
  2. Step 2: Convert to fraction form
    465,251.70/697,999.05 = 149,716.20/x
  3. Step 3: Cross multiply
    465,251.70x = 697,999.05 × 149,716.20
  4. Step 4: Simplify right side
    465,251.70x = 104,501,765,369.61
  5. Step 5: Solve for x
    x = 104,501,765,369.61/465,251.70
  6. Step 6: Final answer
    x = 224,613.40

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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.