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Finding the Fourth Proportional to 243,478.90, 365,218.35 and 184,429.90

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Solution

The fourth proportional to 243,478.90, 365,218.35 and 184,429.90 is: 276,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,478.90 : 365,218.35 = 184,429.90 : x
  2. Step 2: Convert to fraction form
    243,478.90/365,218.35 = 184,429.90/x
  3. Step 3: Cross multiply
    243,478.90x = 365,218.35 × 184,429.90
  4. Step 4: Simplify right side
    243,478.90x = 67,357,183,768.67
  5. Step 5: Solve for x
    x = 67,357,183,768.67/243,478.90
  6. Step 6: Final answer
    x = 276,644.85

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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.