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Finding the Fourth Proportional to 310,285.32, 428,196.42 and 174,321.96

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Solution

The fourth proportional to 310,285.32, 428,196.42 and 174,321.96 is: 240,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,285.32 : 428,196.42 = 174,321.96 : x
  2. Step 2: Convert to fraction form
    310,285.32/428,196.42 = 174,321.96/x
  3. Step 3: Cross multiply
    310,285.32x = 428,196.42 × 174,321.96
  4. Step 4: Simplify right side
    310,285.32x = 74,644,039,199.38
  5. Step 5: Solve for x
    x = 74,644,039,199.38/310,285.32
  6. Step 6: Final answer
    x = 240,565.81

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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.