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Finding the Fourth Proportional to 328,739.54, 492,697.66 and 176,562.65

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Solution

The fourth proportional to 328,739.54, 492,697.66 and 176,562.65 is: 264,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,739.54 : 492,697.66 = 176,562.65 : x
  2. Step 2: Convert to fraction form
    328,739.54/492,697.66 = 176,562.65/x
  3. Step 3: Cross multiply
    328,739.54x = 492,697.66 × 176,562.65
  4. Step 4: Simplify right side
    328,739.54x = 86,992,001,152.10
  5. Step 5: Solve for x
    x = 86,992,001,152.10/328,739.54
  6. Step 6: Final answer
    x = 264,622.88

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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.