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Finding the Fourth Proportional to 284,314.10, 425,909.55 and 184,543.70

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Solution

The fourth proportional to 284,314.10, 425,909.55 and 184,543.70 is: 276,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.10 : 425,909.55 = 184,543.70 : x
  2. Step 2: Convert to fraction form
    284,314.10/425,909.55 = 184,543.70/x
  3. Step 3: Cross multiply
    284,314.10x = 425,909.55 × 184,543.70
  4. Step 4: Simplify right side
    284,314.10x = 78,598,924,222.34
  5. Step 5: Solve for x
    x = 78,598,924,222.34/284,314.10
  6. Step 6: Final answer
    x = 276,451.02

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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.