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Finding the Fourth Proportional to 328,007.20, 492,097.20 and 117,623.20

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Solution

The fourth proportional to 328,007.20, 492,097.20 and 117,623.20 is: 176,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,007.20 : 492,097.20 = 117,623.20 : x
  2. Step 2: Convert to fraction form
    328,007.20/492,097.20 = 117,623.20/x
  3. Step 3: Cross multiply
    328,007.20x = 492,097.20 × 117,623.20
  4. Step 4: Simplify right side
    328,007.20x = 57,882,047,375.04
  5. Step 5: Solve for x
    x = 57,882,047,375.04/328,007.20
  6. Step 6: Final answer
    x = 176,465.78

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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.