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Finding the Fourth Proportional to 293,597.64, 440,565.80 and 158,662.02

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Solution

The fourth proportional to 293,597.64, 440,565.80 and 158,662.02 is: 238,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,597.64 : 440,565.80 = 158,662.02 : x
  2. Step 2: Convert to fraction form
    293,597.64/440,565.80 = 158,662.02/x
  3. Step 3: Cross multiply
    293,597.64x = 440,565.80 × 158,662.02
  4. Step 4: Simplify right side
    293,597.64x = 69,901,059,770.92
  5. Step 5: Solve for x
    x = 69,901,059,770.92/293,597.64
  6. Step 6: Final answer
    x = 238,084.54

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Why These Related Problems?

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