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Finding the Fourth Proportional to 309,008.49, 463,720.50 and 109,328.10

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Solution

The fourth proportional to 309,008.49, 463,720.50 and 109,328.10 is: 164,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,008.49 : 463,720.50 = 109,328.10 : x
  2. Step 2: Convert to fraction form
    309,008.49/463,720.50 = 109,328.10/x
  3. Step 3: Cross multiply
    309,008.49x = 463,720.50 × 109,328.10
  4. Step 4: Simplify right side
    309,008.49x = 50,697,681,196.05
  5. Step 5: Solve for x
    x = 50,697,681,196.05/309,008.49
  6. Step 6: Final answer
    x = 164,065.66

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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.