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Finding the Fourth Proportional to 397,141.01, 548,060.14 and 215,852.88

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Solution

The fourth proportional to 397,141.01, 548,060.14 and 215,852.88 is: 297,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,141.01 : 548,060.14 = 215,852.88 : x
  2. Step 2: Convert to fraction form
    397,141.01/548,060.14 = 215,852.88/x
  3. Step 3: Cross multiply
    397,141.01x = 548,060.14 × 215,852.88
  4. Step 4: Simplify right side
    397,141.01x = 118,300,361,957.25
  5. Step 5: Solve for x
    x = 118,300,361,957.25/397,141.01
  6. Step 6: Final answer
    x = 297,880.00

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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.