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Finding the Fourth Proportional to 409,339.80, 614,009.70 and 184,807.80

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Solution

The fourth proportional to 409,339.80, 614,009.70 and 184,807.80 is: 277,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,339.80 : 614,009.70 = 184,807.80 : x
  2. Step 2: Convert to fraction form
    409,339.80/614,009.70 = 184,807.80/x
  3. Step 3: Cross multiply
    409,339.80x = 614,009.70 × 184,807.80
  4. Step 4: Simplify right side
    409,339.80x = 113,473,781,835.66
  5. Step 5: Solve for x
    x = 113,473,781,835.66/409,339.80
  6. Step 6: Final answer
    x = 277,211.70

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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.