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Finding the Fourth Proportional to 284,313.60, 425,908.80 and 184,543.20

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Solution

The fourth proportional to 284,313.60, 425,908.80 and 184,543.20 is: 276,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.60 : 425,908.80 = 184,543.20 : x
  2. Step 2: Convert to fraction form
    284,313.60/425,908.80 = 184,543.20/x
  3. Step 3: Cross multiply
    284,313.60x = 425,908.80 × 184,543.20
  4. Step 4: Simplify right side
    284,313.60x = 78,598,572,860.16
  5. Step 5: Solve for x
    x = 78,598,572,860.16/284,313.60
  6. Step 6: Final answer
    x = 276,450.27

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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.