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Finding the Fourth Proportional to 716,783.16, 989,105.94 and 410,855.88

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Solution

The fourth proportional to 716,783.16, 989,105.94 and 410,855.88 is: 566,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,783.16 : 989,105.94 = 410,855.88 : x
  2. Step 2: Convert to fraction form
    716,783.16/989,105.94 = 410,855.88/x
  3. Step 3: Cross multiply
    716,783.16x = 989,105.94 × 410,855.88
  4. Step 4: Simplify right side
    716,783.16x = 406,379,991,391.93
  5. Step 5: Solve for x
    x = 406,379,991,391.93/716,783.16
  6. Step 6: Final answer
    x = 566,949.69

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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.