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Finding the Fourth Proportional to 463,847.10, 695,770.65 and 148,314.30

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Solution

The fourth proportional to 463,847.10, 695,770.65 and 148,314.30 is: 222,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,847.10 : 695,770.65 = 148,314.30 : x
  2. Step 2: Convert to fraction form
    463,847.10/695,770.65 = 148,314.30/x
  3. Step 3: Cross multiply
    463,847.10x = 695,770.65 × 148,314.30
  4. Step 4: Simplify right side
    463,847.10x = 103,192,736,915.30
  5. Step 5: Solve for x
    x = 103,192,736,915.30/463,847.10
  6. Step 6: Final answer
    x = 222,471.45

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Similar ratio
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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.