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Finding the Fourth Proportional to 416,409.86, 574,645.80 and 225,423.25

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Solution

The fourth proportional to 416,409.86, 574,645.80 and 225,423.25 is: 311,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,409.86 : 574,645.80 = 225,423.25 : x
  2. Step 2: Convert to fraction form
    416,409.86/574,645.80 = 225,423.25/x
  3. Step 3: Cross multiply
    416,409.86x = 574,645.80 × 225,423.25
  4. Step 4: Simplify right side
    416,409.86x = 129,538,523,834.85
  5. Step 5: Solve for x
    x = 129,538,523,834.85/416,409.86
  6. Step 6: Final answer
    x = 311,084.19

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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.