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Finding the Fourth Proportional to 713,795.50, 985,125.27 and 411,989.50

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Solution

The fourth proportional to 713,795.50, 985,125.27 and 411,989.50 is: 568,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,795.50 : 985,125.27 = 411,989.50 : x
  2. Step 2: Convert to fraction form
    713,795.50/985,125.27 = 411,989.50/x
  3. Step 3: Cross multiply
    713,795.50x = 985,125.27 × 411,989.50
  4. Step 4: Simplify right side
    713,795.50x = 405,861,267,424.67
  5. Step 5: Solve for x
    x = 405,861,267,424.67/713,795.50
  6. Step 6: Final answer
    x = 568,596.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.