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Finding the Fourth Proportional to 320,605.48, 442,397.10 and 184,683.88

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Solution

The fourth proportional to 320,605.48, 442,397.10 and 184,683.88 is: 254,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,605.48 : 442,397.10 = 184,683.88 : x
  2. Step 2: Convert to fraction form
    320,605.48/442,397.10 = 184,683.88/x
  3. Step 3: Cross multiply
    320,605.48x = 442,397.10 × 184,683.88
  4. Step 4: Simplify right side
    320,605.48x = 81,703,612,928.75
  5. Step 5: Solve for x
    x = 81,703,612,928.75/320,605.48
  6. Step 6: Final answer
    x = 254,841.60

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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.