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Finding the Fourth Proportional to 416,220.40, 574,388.40 and 225,238.24

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Solution

The fourth proportional to 416,220.40, 574,388.40 and 225,238.24 is: 310,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,220.40 : 574,388.40 = 225,238.24 : x
  2. Step 2: Convert to fraction form
    416,220.40/574,388.40 = 225,238.24/x
  3. Step 3: Cross multiply
    416,220.40x = 574,388.40 × 225,238.24
  4. Step 4: Simplify right side
    416,220.40x = 129,374,232,292.42
  5. Step 5: Solve for x
    x = 129,374,232,292.42/416,220.40
  6. Step 6: Final answer
    x = 310,831.07

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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.