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Finding the Fourth Proportional to 308,916.62, 463,442.85 and 175,859.18

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Solution

The fourth proportional to 308,916.62, 463,442.85 and 175,859.18 is: 263,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,916.62 : 463,442.85 = 175,859.18 : x
  2. Step 2: Convert to fraction form
    308,916.62/463,442.85 = 175,859.18/x
  3. Step 3: Cross multiply
    308,916.62x = 463,442.85 × 175,859.18
  4. Step 4: Simplify right side
    308,916.62x = 81,500,679,577.86
  5. Step 5: Solve for x
    x = 81,500,679,577.86/308,916.62
  6. Step 6: Final answer
    x = 263,827.44

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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.