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Finding the Fourth Proportional to 416,802.63, 575,188.20 and 225,816.03

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Solution

The fourth proportional to 416,802.63, 575,188.20 and 225,816.03 is: 311,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,802.63 : 575,188.20 = 225,816.03 : x
  2. Step 2: Convert to fraction form
    416,802.63/575,188.20 = 225,816.03/x
  3. Step 3: Cross multiply
    416,802.63x = 575,188.20 × 225,816.03
  4. Step 4: Simplify right side
    416,802.63x = 129,886,715,826.85
  5. Step 5: Solve for x
    x = 129,886,715,826.85/416,802.63
  6. Step 6: Final answer
    x = 311,626.43

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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.