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Finding the Fourth Proportional to 415,893.66, 623,744.58 and 116,395.38

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Solution

The fourth proportional to 415,893.66, 623,744.58 and 116,395.38 is: 174,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,893.66 : 623,744.58 = 116,395.38 : x
  2. Step 2: Convert to fraction form
    415,893.66/623,744.58 = 116,395.38/x
  3. Step 3: Cross multiply
    415,893.66x = 623,744.58 × 116,395.38
  4. Step 4: Simplify right side
    415,893.66x = 72,600,987,412.04
  5. Step 5: Solve for x
    x = 72,600,987,412.04/415,893.66
  6. Step 6: Final answer
    x = 174,566.23

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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.