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Finding the Fourth Proportional to 397,335.98, 548,315.88 and 216,046.32

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Solution

The fourth proportional to 397,335.98, 548,315.88 and 216,046.32 is: 298,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,335.98 : 548,315.88 = 216,046.32 : x
  2. Step 2: Convert to fraction form
    397,335.98/548,315.88 = 216,046.32/x
  3. Step 3: Cross multiply
    397,335.98x = 548,315.88 × 216,046.32
  4. Step 4: Simplify right side
    397,335.98x = 118,461,628,071.56
  5. Step 5: Solve for x
    x = 118,461,628,071.56/397,335.98
  6. Step 6: Final answer
    x = 298,139.70

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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.