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Finding the Fourth Proportional to 403,492.62, 605,698.20 and 204,038.22

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Solution

The fourth proportional to 403,492.62, 605,698.20 and 204,038.22 is: 306,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,492.62 : 605,698.20 = 204,038.22 : x
  2. Step 2: Convert to fraction form
    403,492.62/605,698.20 = 204,038.22/x
  3. Step 3: Cross multiply
    403,492.62x = 605,698.20 × 204,038.22
  4. Step 4: Simplify right side
    403,492.62x = 123,585,582,585.20
  5. Step 5: Solve for x
    x = 123,585,582,585.20/403,492.62
  6. Step 6: Final answer
    x = 306,289.57

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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.