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Finding the Fourth Proportional to 465,548.64, 698,629.20 and 255,334.20

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Solution

The fourth proportional to 465,548.64, 698,629.20 and 255,334.20 is: 383,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,548.64 : 698,629.20 = 255,334.20 : x
  2. Step 2: Convert to fraction form
    465,548.64/698,629.20 = 255,334.20/x
  3. Step 3: Cross multiply
    465,548.64x = 698,629.20 × 255,334.20
  4. Step 4: Simplify right side
    465,548.64x = 178,383,927,878.64
  5. Step 5: Solve for x
    x = 178,383,927,878.64/465,548.64
  6. Step 6: Final answer
    x = 383,169.26

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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.