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Finding the Fourth Proportional to 416,237.16, 574,408.71 and 225,250.50

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Solution

The fourth proportional to 416,237.16, 574,408.71 and 225,250.50 is: 310,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,237.16 : 574,408.71 = 225,250.50 : x
  2. Step 2: Convert to fraction form
    416,237.16/574,408.71 = 225,250.50/x
  3. Step 3: Cross multiply
    416,237.16x = 574,408.71 × 225,250.50
  4. Step 4: Simplify right side
    416,237.16x = 129,385,849,131.86
  5. Step 5: Solve for x
    x = 129,385,849,131.86/416,237.16
  6. Step 6: Final answer
    x = 310,846.46

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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.