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Finding the Fourth Proportional to 397,624.08, 548,726.64 and 216,338.16

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Solution

The fourth proportional to 397,624.08, 548,726.64 and 216,338.16 is: 298,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,624.08 : 548,726.64 = 216,338.16 : x
  2. Step 2: Convert to fraction form
    397,624.08/548,726.64 = 216,338.16/x
  3. Step 3: Cross multiply
    397,624.08x = 548,726.64 × 216,338.16
  4. Step 4: Simplify right side
    397,624.08x = 118,710,511,640.58
  5. Step 5: Solve for x
    x = 118,710,511,640.58/397,624.08
  6. Step 6: Final answer
    x = 298,549.60

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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.