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Finding the Fourth Proportional to 314,878.52, 434,515.95 and 178,893.59

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Solution

The fourth proportional to 314,878.52, 434,515.95 and 178,893.59 is: 246,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,878.52 : 434,515.95 = 178,893.59 : x
  2. Step 2: Convert to fraction form
    314,878.52/434,515.95 = 178,893.59/x
  3. Step 3: Cross multiply
    314,878.52x = 434,515.95 × 178,893.59
  4. Step 4: Simplify right side
    314,878.52x = 77,732,116,035.18
  5. Step 5: Solve for x
    x = 77,732,116,035.18/314,878.52
  6. Step 6: Final answer
    x = 246,863.83

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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.