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Finding the Fourth Proportional to 417,012, 575,476.24 and 226,025.44

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Solution

The fourth proportional to 417,012, 575,476.24 and 226,025.44 is: 311,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,012 : 575,476.24 = 226,025.44 : x
  2. Step 2: Convert to fraction form
    417,012/575,476.24 = 226,025.44/x
  3. Step 3: Cross multiply
    417,012x = 575,476.24 × 226,025.44
  4. Step 4: Simplify right side
    417,012x = 130,072,270,355.55
  5. Step 5: Solve for x
    x = 130,072,270,355.55/417,012
  6. Step 6: Final answer
    x = 311,914.93

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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.