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Finding the Fourth Proportional to 416,093.42, 574,207.44 and 225,106.86

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Solution

The fourth proportional to 416,093.42, 574,207.44 and 225,106.86 is: 310,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,093.42 : 574,207.44 = 225,106.86 : x
  2. Step 2: Convert to fraction form
    416,093.42/574,207.44 = 225,106.86/x
  3. Step 3: Cross multiply
    416,093.42x = 574,207.44 × 225,106.86
  4. Step 4: Simplify right side
    416,093.42x = 129,258,033,807.04
  5. Step 5: Solve for x
    x = 129,258,033,807.04/416,093.42
  6. Step 6: Final answer
    x = 310,646.67

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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.