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Finding the Fourth Proportional to 407,561.30, 611,145.32 and 170,840.42

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Solution

The fourth proportional to 407,561.30, 611,145.32 and 170,840.42 is: 256,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,561.30 : 611,145.32 = 170,840.42 : x
  2. Step 2: Convert to fraction form
    407,561.30/611,145.32 = 170,840.42/x
  3. Step 3: Cross multiply
    407,561.30x = 611,145.32 × 170,840.42
  4. Step 4: Simplify right side
    407,561.30x = 104,408,319,239.91
  5. Step 5: Solve for x
    x = 104,408,319,239.91/407,561.30
  6. Step 6: Final answer
    x = 256,178.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.