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Finding the Fourth Proportional to 328,001.28, 492,071.04 and 106,368

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Solution

The fourth proportional to 328,001.28, 492,071.04 and 106,368 is: 159,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,001.28 : 492,071.04 = 106,368 : x
  2. Step 2: Convert to fraction form
    328,001.28/492,071.04 = 106,368/x
  3. Step 3: Cross multiply
    328,001.28x = 492,071.04 × 106,368
  4. Step 4: Simplify right side
    328,001.28x = 52,340,612,382.72
  5. Step 5: Solve for x
    x = 52,340,612,382.72/328,001.28
  6. Step 6: Final answer
    x = 159,574.42

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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.