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Finding the Fourth Proportional to 416,800.64, 575,185.44 and 225,814.04

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Solution

The fourth proportional to 416,800.64, 575,185.44 and 225,814.04 is: 311,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,800.64 : 575,185.44 = 225,814.04 : x
  2. Step 2: Convert to fraction form
    416,800.64/575,185.44 = 225,814.04/x
  3. Step 3: Cross multiply
    416,800.64x = 575,185.44 × 225,814.04
  4. Step 4: Simplify right side
    416,800.64x = 129,884,947,955.58
  5. Step 5: Solve for x
    x = 129,884,947,955.58/416,800.64
  6. Step 6: Final answer
    x = 311,623.68

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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.