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Finding the Fourth Proportional to 360,633.90, 497,654.10 and 197,257.98

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Solution

The fourth proportional to 360,633.90, 497,654.10 and 197,257.98 is: 272,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,633.90 : 497,654.10 = 197,257.98 : x
  2. Step 2: Convert to fraction form
    360,633.90/497,654.10 = 197,257.98/x
  3. Step 3: Cross multiply
    360,633.90x = 497,654.10 × 197,257.98
  4. Step 4: Simplify right side
    360,633.90x = 98,166,242,504.72
  5. Step 5: Solve for x
    x = 98,166,242,504.72/360,633.90
  6. Step 6: Final answer
    x = 272,204.70

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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.