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Finding the Fourth Proportional to 534,285.99, 800,731.17 and 407,461.86

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Solution

The fourth proportional to 534,285.99, 800,731.17 and 407,461.86 is: 610,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,285.99 : 800,731.17 = 407,461.86 : x
  2. Step 2: Convert to fraction form
    534,285.99/800,731.17 = 407,461.86/x
  3. Step 3: Cross multiply
    534,285.99x = 800,731.17 × 407,461.86
  4. Step 4: Simplify right side
    534,285.99x = 326,267,411,888.18
  5. Step 5: Solve for x
    x = 326,267,411,888.18/534,285.99
  6. Step 6: Final answer
    x = 610,660.62

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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.