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Finding the Fourth Proportional to 411,777.17, 616,861.29 and 283,670.83

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Solution

The fourth proportional to 411,777.17, 616,861.29 and 283,670.83 is: 424,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,777.17 : 616,861.29 = 283,670.83 : x
  2. Step 2: Convert to fraction form
    411,777.17/616,861.29 = 283,670.83/x
  3. Step 3: Cross multiply
    411,777.17x = 616,861.29 × 283,670.83
  4. Step 4: Simplify right side
    411,777.17x = 174,985,550,898.52
  5. Step 5: Solve for x
    x = 174,985,550,898.52/411,777.17
  6. Step 6: Final answer
    x = 424,952.05

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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.