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Finding the Fourth Proportional to 315,663, 435,612.36 and 172,423.08

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Solution

The fourth proportional to 315,663, 435,612.36 and 172,423.08 is: 237,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,663 : 435,612.36 = 172,423.08 : x
  2. Step 2: Convert to fraction form
    315,663/435,612.36 = 172,423.08/x
  3. Step 3: Cross multiply
    315,663x = 435,612.36 × 172,423.08
  4. Step 4: Simplify right side
    315,663x = 75,109,624,797.27
  5. Step 5: Solve for x
    x = 75,109,624,797.27/315,663
  6. Step 6: Final answer
    x = 237,942.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.