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Finding the Fourth Proportional to 309,261.60, 463,546.80 and 176,205.60

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Solution

The fourth proportional to 309,261.60, 463,546.80 and 176,205.60 is: 264,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,261.60 : 463,546.80 = 176,205.60 : x
  2. Step 2: Convert to fraction form
    309,261.60/463,546.80 = 176,205.60/x
  3. Step 3: Cross multiply
    309,261.60x = 463,546.80 × 176,205.60
  4. Step 4: Simplify right side
    309,261.60x = 81,679,542,022.08
  5. Step 5: Solve for x
    x = 81,679,542,022.08/309,261.60
  6. Step 6: Final answer
    x = 264,111.49

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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.