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Finding the Fourth Proportional to 294,157.67, 405,904.10 and 165,069.45

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Solution

The fourth proportional to 294,157.67, 405,904.10 and 165,069.45 is: 227,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,157.67 : 405,904.10 = 165,069.45 : x
  2. Step 2: Convert to fraction form
    294,157.67/405,904.10 = 165,069.45/x
  3. Step 3: Cross multiply
    294,157.67x = 405,904.10 × 165,069.45
  4. Step 4: Simplify right side
    294,157.67x = 67,002,365,714.40
  5. Step 5: Solve for x
    x = 67,002,365,714.40/294,157.67
  6. Step 6: Final answer
    x = 227,777.05

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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.