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Finding the Fourth Proportional to 416,431.50, 574,678.44 and 225,445.38

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Solution

The fourth proportional to 416,431.50, 574,678.44 and 225,445.38 is: 311,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,431.50 : 574,678.44 = 225,445.38 : x
  2. Step 2: Convert to fraction form
    416,431.50/574,678.44 = 225,445.38/x
  3. Step 3: Cross multiply
    416,431.50x = 574,678.44 × 225,445.38
  4. Step 4: Simplify right side
    416,431.50x = 129,558,599,283.61
  5. Step 5: Solve for x
    x = 129,558,599,283.61/416,431.50
  6. Step 6: Final answer
    x = 311,116.23

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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.