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Finding the Fourth Proportional to 328,210, 492,362.52 and 103,494.16

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Solution

The fourth proportional to 328,210, 492,362.52 and 103,494.16 is: 155,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,210 : 492,362.52 = 103,494.16 : x
  2. Step 2: Convert to fraction form
    328,210/492,362.52 = 103,494.16/x
  3. Step 3: Cross multiply
    328,210x = 492,362.52 × 103,494.16
  4. Step 4: Simplify right side
    328,210x = 50,956,645,422.88
  5. Step 5: Solve for x
    x = 50,956,645,422.88/328,210
  6. Step 6: Final answer
    x = 155,256.22

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