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Finding the Fourth Proportional to 415,394.76, 623,097.14 and 115,857.11

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Solution

The fourth proportional to 415,394.76, 623,097.14 and 115,857.11 is: 173,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,394.76 : 623,097.14 = 115,857.11 : x
  2. Step 2: Convert to fraction form
    415,394.76/623,097.14 = 115,857.11/x
  3. Step 3: Cross multiply
    415,394.76x = 623,097.14 × 115,857.11
  4. Step 4: Simplify right side
    415,394.76x = 72,190,230,194.89
  5. Step 5: Solve for x
    x = 72,190,230,194.89/415,394.76
  6. Step 6: Final answer
    x = 173,787.05

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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.