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Finding the Fourth Proportional to 716,447.99, 988,839.51 and 410,729.60

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Solution

The fourth proportional to 716,447.99, 988,839.51 and 410,729.60 is: 566,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,447.99 : 988,839.51 = 410,729.60 : x
  2. Step 2: Convert to fraction form
    716,447.99/988,839.51 = 410,729.60/x
  3. Step 3: Cross multiply
    716,447.99x = 988,839.51 × 410,729.60
  4. Step 4: Simplify right side
    716,447.99x = 406,145,656,406.50
  5. Step 5: Solve for x
    x = 406,145,656,406.50/716,447.99
  6. Step 6: Final answer
    x = 566,887.84

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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.