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Finding the Fourth Proportional to 416,684.79, 575,025.05 and 225,698.20

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Solution

The fourth proportional to 416,684.79, 575,025.05 and 225,698.20 is: 311,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,684.79 : 575,025.05 = 225,698.20 : x
  2. Step 2: Convert to fraction form
    416,684.79/575,025.05 = 225,698.20/x
  3. Step 3: Cross multiply
    416,684.79x = 575,025.05 × 225,698.20
  4. Step 4: Simplify right side
    416,684.79x = 129,782,117,866.59
  5. Step 5: Solve for x
    x = 129,782,117,866.59/416,684.79
  6. Step 6: Final answer
    x = 311,463.54

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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.