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Finding the Fourth Proportional to 416,277.50, 574,461.87 and 225,290.84

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Solution

The fourth proportional to 416,277.50, 574,461.87 and 225,290.84 is: 310,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,277.50 : 574,461.87 = 225,290.84 : x
  2. Step 2: Convert to fraction form
    416,277.50/574,461.87 = 225,290.84/x
  3. Step 3: Cross multiply
    416,277.50x = 574,461.87 × 225,290.84
  4. Step 4: Simplify right side
    416,277.50x = 129,420,997,240.27
  5. Step 5: Solve for x
    x = 129,420,997,240.27/416,277.50
  6. Step 6: Final answer
    x = 310,900.77

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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.