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Finding the Fourth Proportional to 328,106, 492,206.52 and 103,390.40

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Solution

The fourth proportional to 328,106, 492,206.52 and 103,390.40 is: 155,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,106 : 492,206.52 = 103,390.40 : x
  2. Step 2: Convert to fraction form
    328,106/492,206.52 = 103,390.40/x
  3. Step 3: Cross multiply
    328,106x = 492,206.52 × 103,390.40
  4. Step 4: Simplify right side
    328,106x = 50,889,428,985.41
  5. Step 5: Solve for x
    x = 50,889,428,985.41/328,106
  6. Step 6: Final answer
    x = 155,100.57

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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.