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Finding the Fourth Proportional to 287,842.58, 397,385.10 and 199,597.14

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Solution

The fourth proportional to 287,842.58, 397,385.10 and 199,597.14 is: 275,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,842.58 : 397,385.10 = 199,597.14 : x
  2. Step 2: Convert to fraction form
    287,842.58/397,385.10 = 199,597.14/x
  3. Step 3: Cross multiply
    287,842.58x = 397,385.10 × 199,597.14
  4. Step 4: Simplify right side
    287,842.58x = 79,316,929,438.61
  5. Step 5: Solve for x
    x = 79,316,929,438.61/287,842.58
  6. Step 6: Final answer
    x = 275,556.62

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1.5x scale

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.