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Finding the Fourth Proportional to 716,282.55, 988,542.42 and 410,399.50

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Solution

The fourth proportional to 716,282.55, 988,542.42 and 410,399.50 is: 566,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,282.55 : 988,542.42 = 410,399.50 : x
  2. Step 2: Convert to fraction form
    716,282.55/988,542.42 = 410,399.50/x
  3. Step 3: Cross multiply
    716,282.55x = 988,542.42 × 410,399.50
  4. Step 4: Simplify right side
    716,282.55x = 405,697,314,896.79
  5. Step 5: Solve for x
    x = 405,697,314,896.79/716,282.55
  6. Step 6: Final answer
    x = 566,392.85

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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.