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Finding the Fourth Proportional to 315,623.66, 435,553.92 and 172,384.28

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Solution

The fourth proportional to 315,623.66, 435,553.92 and 172,384.28 is: 237,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,623.66 : 435,553.92 = 172,384.28 : x
  2. Step 2: Convert to fraction form
    315,623.66/435,553.92 = 172,384.28/x
  3. Step 3: Cross multiply
    315,623.66x = 435,553.92 × 172,384.28
  4. Step 4: Simplify right side
    315,623.66x = 75,082,648,900.38
  5. Step 5: Solve for x
    x = 75,082,648,900.38/315,623.66
  6. Step 6: Final answer
    x = 237,886.63

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Why These Related Problems?

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