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Finding the Fourth Proportional to 320,365.94, 442,123.94 and 184,396.51

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Solution

The fourth proportional to 320,365.94, 442,123.94 and 184,396.51 is: 254,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,365.94 : 442,123.94 = 184,396.51 : x
  2. Step 2: Convert to fraction form
    320,365.94/442,123.94 = 184,396.51/x
  3. Step 3: Cross multiply
    320,365.94x = 442,123.94 × 184,396.51
  4. Step 4: Simplify right side
    320,365.94x = 81,526,110,879.13
  5. Step 5: Solve for x
    x = 81,526,110,879.13/320,365.94
  6. Step 6: Final answer
    x = 254,478.08

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1.5x scale

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.