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Finding the Fourth Proportional to 312,684.29, 469,654.01 and 186,570.60

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Solution

The fourth proportional to 312,684.29, 469,654.01 and 186,570.60 is: 280,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,684.29 : 469,654.01 = 186,570.60 : x
  2. Step 2: Convert to fraction form
    312,684.29/469,654.01 = 186,570.60/x
  3. Step 3: Cross multiply
    312,684.29x = 469,654.01 × 186,570.60
  4. Step 4: Simplify right side
    312,684.29x = 87,623,630,438.11
  5. Step 5: Solve for x
    x = 87,623,630,438.11/312,684.29
  6. Step 6: Final answer
    x = 280,230.36

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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.