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Finding the Fourth Proportional to 320,462.76, 480,693.54 and 120,827.94

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Solution

The fourth proportional to 320,462.76, 480,693.54 and 120,827.94 is: 181,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,462.76 : 480,693.54 = 120,827.94 : x
  2. Step 2: Convert to fraction form
    320,462.76/480,693.54 = 120,827.94/x
  3. Step 3: Cross multiply
    320,462.76x = 480,693.54 × 120,827.94
  4. Step 4: Simplify right side
    320,462.76x = 58,081,210,209.51
  5. Step 5: Solve for x
    x = 58,081,210,209.51/320,462.76
  6. Step 6: Final answer
    x = 181,241.68

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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.