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Finding the Fourth Proportional to 415,869.17, 623,843.03 and 116,349.80

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Solution

The fourth proportional to 415,869.17, 623,843.03 and 116,349.80 is: 174,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,869.17 : 623,843.03 = 116,349.80 : x
  2. Step 2: Convert to fraction form
    415,869.17/623,843.03 = 116,349.80/x
  3. Step 3: Cross multiply
    415,869.17x = 623,843.03 × 116,349.80
  4. Step 4: Simplify right side
    415,869.17x = 72,584,008,943.55
  5. Step 5: Solve for x
    x = 72,584,008,943.55/415,869.17
  6. Step 6: Final answer
    x = 174,535.68

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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.