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Finding the Fourth Proportional to 328,202, 492,350.52 and 103,486.16

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Solution

The fourth proportional to 328,202, 492,350.52 and 103,486.16 is: 155,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,202 : 492,350.52 = 103,486.16 : x
  2. Step 2: Convert to fraction form
    328,202/492,350.52 = 103,486.16/x
  3. Step 3: Cross multiply
    328,202x = 492,350.52 × 103,486.16
  4. Step 4: Simplify right side
    328,202x = 50,951,464,688.80
  5. Step 5: Solve for x
    x = 50,951,464,688.80/328,202
  6. Step 6: Final answer
    x = 155,244.22

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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.