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Finding the Fourth Proportional to 415,219.64, 573,055.29 and 233,974.78

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Solution

The fourth proportional to 415,219.64, 573,055.29 and 233,974.78 is: 322,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.64 : 573,055.29 = 233,974.78 : x
  2. Step 2: Convert to fraction form
    415,219.64/573,055.29 = 233,974.78/x
  3. Step 3: Cross multiply
    415,219.64x = 573,055.29 × 233,974.78
  4. Step 4: Simplify right side
    415,219.64x = 134,080,483,972.95
  5. Step 5: Solve for x
    x = 134,080,483,972.95/415,219.64
  6. Step 6: Final answer
    x = 322,914.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.