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Finding the Fourth Proportional to 409,632.78, 614,226.80 and 184,730.06

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Solution

The fourth proportional to 409,632.78, 614,226.80 and 184,730.06 is: 276,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,632.78 : 614,226.80 = 184,730.06 : x
  2. Step 2: Convert to fraction form
    409,632.78/614,226.80 = 184,730.06/x
  3. Step 3: Cross multiply
    409,632.78x = 614,226.80 × 184,730.06
  4. Step 4: Simplify right side
    409,632.78x = 113,466,153,617.61
  5. Step 5: Solve for x
    x = 113,466,153,617.61/409,632.78
  6. Step 6: Final answer
    x = 276,994.81

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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.