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Finding the Fourth Proportional to 415,863, 623,683.76 and 116,325

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Solution

The fourth proportional to 415,863, 623,683.76 and 116,325 is: 174,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,863 : 623,683.76 = 116,325 : x
  2. Step 2: Convert to fraction form
    415,863/623,683.76 = 116,325/x
  3. Step 3: Cross multiply
    415,863x = 623,683.76 × 116,325
  4. Step 4: Simplify right side
    415,863x = 72,550,013,382
  5. Step 5: Solve for x
    x = 72,550,013,382/415,863
  6. Step 6: Final answer
    x = 174,456.52

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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.