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Finding the Fourth Proportional to 415,384.16, 623,090.28 and 115,872.08

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Solution

The fourth proportional to 415,384.16, 623,090.28 and 115,872.08 is: 173,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,384.16 : 623,090.28 = 115,872.08 : x
  2. Step 2: Convert to fraction form
    415,384.16/623,090.28 = 115,872.08/x
  3. Step 3: Cross multiply
    415,384.16x = 623,090.28 × 115,872.08
  4. Step 4: Simplify right side
    415,384.16x = 72,198,766,771.38
  5. Step 5: Solve for x
    x = 72,198,766,771.38/415,384.16
  6. Step 6: Final answer
    x = 173,812.04

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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.