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Finding the Fourth Proportional to 416,837.34, 575,231.76 and 225,850.14

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Solution

The fourth proportional to 416,837.34, 575,231.76 and 225,850.14 is: 311,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,837.34 : 575,231.76 = 225,850.14 : x
  2. Step 2: Convert to fraction form
    416,837.34/575,231.76 = 225,850.14/x
  3. Step 3: Cross multiply
    416,837.34x = 575,231.76 × 225,850.14
  4. Step 4: Simplify right side
    416,837.34x = 129,916,173,528.45
  5. Step 5: Solve for x
    x = 129,916,173,528.45/416,837.34
  6. Step 6: Final answer
    x = 311,671.15

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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.