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Finding the Fourth Proportional to 284,259.60, 425,827.80 and 184,489.20

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Solution

The fourth proportional to 284,259.60, 425,827.80 and 184,489.20 is: 276,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259.60 : 425,827.80 = 184,489.20 : x
  2. Step 2: Convert to fraction form
    284,259.60/425,827.80 = 184,489.20/x
  3. Step 3: Cross multiply
    284,259.60x = 425,827.80 × 184,489.20
  4. Step 4: Simplify right side
    284,259.60x = 78,560,630,159.76
  5. Step 5: Solve for x
    x = 78,560,630,159.76/284,259.60
  6. Step 6: Final answer
    x = 276,369.31

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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.