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Finding the Fourth Proportional to 320,570.33, 442,348.50 and 184,648.48

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Solution

The fourth proportional to 320,570.33, 442,348.50 and 184,648.48 is: 254,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,570.33 : 442,348.50 = 184,648.48 : x
  2. Step 2: Convert to fraction form
    320,570.33/442,348.50 = 184,648.48/x
  3. Step 3: Cross multiply
    320,570.33x = 442,348.50 × 184,648.48
  4. Step 4: Simplify right side
    320,570.33x = 81,678,977,741.84
  5. Step 5: Solve for x
    x = 81,678,977,741.84/320,570.33
  6. Step 6: Final answer
    x = 254,792.70

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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.