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Finding the Fourth Proportional to 397,456.16, 548,484.14 and 216,164.18

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Solution

The fourth proportional to 397,456.16, 548,484.14 and 216,164.18 is: 298,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,456.16 : 548,484.14 = 216,164.18 : x
  2. Step 2: Convert to fraction form
    397,456.16/548,484.14 = 216,164.18/x
  3. Step 3: Cross multiply
    397,456.16x = 548,484.14 × 216,164.18
  4. Step 4: Simplify right side
    397,456.16x = 118,562,626,277.73
  5. Step 5: Solve for x
    x = 118,562,626,277.73/397,456.16
  6. Step 6: Final answer
    x = 298,303.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.