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Finding the Fourth Proportional to 416,281.96, 574,468.12 and 225,295.50

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Solution

The fourth proportional to 416,281.96, 574,468.12 and 225,295.50 is: 310,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,281.96 : 574,468.12 = 225,295.50 : x
  2. Step 2: Convert to fraction form
    416,281.96/574,468.12 = 225,295.50/x
  3. Step 3: Cross multiply
    416,281.96x = 574,468.12 × 225,295.50
  4. Step 4: Simplify right side
    416,281.96x = 129,425,082,329.46
  5. Step 5: Solve for x
    x = 129,425,082,329.46/416,281.96
  6. Step 6: Final answer
    x = 310,907.26

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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.