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Finding the Fourth Proportional to 713,812.77, 985,282.17 and 459,163.98

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Solution

The fourth proportional to 713,812.77, 985,282.17 and 459,163.98 is: 633,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,812.77 : 985,282.17 = 459,163.98 : x
  2. Step 2: Convert to fraction form
    713,812.77/985,282.17 = 459,163.98/x
  3. Step 3: Cross multiply
    713,812.77x = 985,282.17 × 459,163.98
  4. Step 4: Simplify right side
    713,812.77x = 452,406,082,600.24
  5. Step 5: Solve for x
    x = 452,406,082,600.24/713,812.77
  6. Step 6: Final answer
    x = 633,788.16

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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.