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Finding the Fourth Proportional to 409,346.80, 614,020.20 and 184,814.80

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Solution

The fourth proportional to 409,346.80, 614,020.20 and 184,814.80 is: 277,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,346.80 : 614,020.20 = 184,814.80 : x
  2. Step 2: Convert to fraction form
    409,346.80/614,020.20 = 184,814.80/x
  3. Step 3: Cross multiply
    409,346.80x = 614,020.20 × 184,814.80
  4. Step 4: Simplify right side
    409,346.80x = 113,480,020,458.96
  5. Step 5: Solve for x
    x = 113,480,020,458.96/409,346.80
  6. Step 6: Final answer
    x = 277,222.20

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1.5x scale

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.