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Finding the Fourth Proportional to 416,809.10, 575,197.13 and 225,822.49

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Solution

The fourth proportional to 416,809.10, 575,197.13 and 225,822.49 is: 311,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,809.10 : 575,197.13 = 225,822.49 : x
  2. Step 2: Convert to fraction form
    416,809.10/575,197.13 = 225,822.49/x
  3. Step 3: Cross multiply
    416,809.10x = 575,197.13 × 225,822.49
  4. Step 4: Simplify right side
    416,809.10x = 129,892,448,137.45
  5. Step 5: Solve for x
    x = 129,892,448,137.45/416,809.10
  6. Step 6: Final answer
    x = 311,635.35

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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.