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Finding the Fourth Proportional to 309,563.10, 464,344.65 and 239,492.70

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Solution

The fourth proportional to 309,563.10, 464,344.65 and 239,492.70 is: 359,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.10 : 464,344.65 = 239,492.70 : x
  2. Step 2: Convert to fraction form
    309,563.10/464,344.65 = 239,492.70/x
  3. Step 3: Cross multiply
    309,563.10x = 464,344.65 × 239,492.70
  4. Step 4: Simplify right side
    309,563.10x = 111,207,153,959.06
  5. Step 5: Solve for x
    x = 111,207,153,959.06/309,563.10
  6. Step 6: Final answer
    x = 359,239.05

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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.