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Finding the Fourth Proportional to 284,207.60, 425,749.80 and 184,437.20

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Solution

The fourth proportional to 284,207.60, 425,749.80 and 184,437.20 is: 276,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,207.60 : 425,749.80 = 184,437.20 : x
  2. Step 2: Convert to fraction form
    284,207.60/425,749.80 = 184,437.20/x
  3. Step 3: Cross multiply
    284,207.60x = 425,749.80 × 184,437.20
  4. Step 4: Simplify right side
    284,207.60x = 78,524,101,012.56
  5. Step 5: Solve for x
    x = 78,524,101,012.56/284,207.60
  6. Step 6: Final answer
    x = 276,291.35

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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.