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Finding the Fourth Proportional to 416,411.12, 574,647.53 and 225,424.50

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Solution

The fourth proportional to 416,411.12, 574,647.53 and 225,424.50 is: 311,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,411.12 : 574,647.53 = 225,424.50 : x
  2. Step 2: Convert to fraction form
    416,411.12/574,647.53 = 225,424.50/x
  3. Step 3: Cross multiply
    416,411.12x = 574,647.53 × 225,424.50
  4. Step 4: Simplify right side
    416,411.12x = 129,539,630,999.36
  5. Step 5: Solve for x
    x = 129,539,630,999.36/416,411.12
  6. Step 6: Final answer
    x = 311,085.91

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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.