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Finding the Fourth Proportional to 416,250.48, 574,423.64 and 225,263.60

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Solution

The fourth proportional to 416,250.48, 574,423.64 and 225,263.60 is: 310,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,250.48 : 574,423.64 = 225,263.60 : x
  2. Step 2: Convert to fraction form
    416,250.48/574,423.64 = 225,263.60/x
  3. Step 3: Cross multiply
    416,250.48x = 574,423.64 × 225,263.60
  4. Step 4: Simplify right side
    416,250.48x = 129,396,737,071.50
  5. Step 5: Solve for x
    x = 129,396,737,071.50/416,250.48
  6. Step 6: Final answer
    x = 310,862.67

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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.