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Finding the Fourth Proportional to 394,910, 592,146.08 and 184,433.12

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Solution

The fourth proportional to 394,910, 592,146.08 and 184,433.12 is: 276,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,910 : 592,146.08 = 184,433.12 : x
  2. Step 2: Convert to fraction form
    394,910/592,146.08 = 184,433.12/x
  3. Step 3: Cross multiply
    394,910x = 592,146.08 × 184,433.12
  4. Step 4: Simplify right side
    394,910x = 109,211,349,030.17
  5. Step 5: Solve for x
    x = 109,211,349,030.17/394,910
  6. Step 6: Final answer
    x = 276,547.44

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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.