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Finding the Fourth Proportional to 308,540.10, 462,810.15 and 184,124.10

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Solution

The fourth proportional to 308,540.10, 462,810.15 and 184,124.10 is: 276,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,540.10 : 462,810.15 = 184,124.10 : x
  2. Step 2: Convert to fraction form
    308,540.10/462,810.15 = 184,124.10/x
  3. Step 3: Cross multiply
    308,540.10x = 462,810.15 × 184,124.10
  4. Step 4: Simplify right side
    308,540.10x = 85,214,502,339.62
  5. Step 5: Solve for x
    x = 85,214,502,339.62/308,540.10
  6. Step 6: Final answer
    x = 276,186.15

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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.