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Finding the Fourth Proportional to 309,291.40, 463,232.94 and 184,374.28

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Solution

The fourth proportional to 309,291.40, 463,232.94 and 184,374.28 is: 276,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,291.40 : 463,232.94 = 184,374.28 : x
  2. Step 2: Convert to fraction form
    309,291.40/463,232.94 = 184,374.28/x
  3. Step 3: Cross multiply
    309,291.40x = 463,232.94 × 184,374.28
  4. Step 4: Simplify right side
    309,291.40x = 85,408,239,784.78
  5. Step 5: Solve for x
    x = 85,408,239,784.78/309,291.40
  6. Step 6: Final answer
    x = 276,141.66

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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.