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Finding the Fourth Proportional to 543,991.47, 810,519.64 and 513,433.02

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Solution

The fourth proportional to 543,991.47, 810,519.64 and 513,433.02 is: 764,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,991.47 : 810,519.64 = 513,433.02 : x
  2. Step 2: Convert to fraction form
    543,991.47/810,519.64 = 513,433.02/x
  3. Step 3: Cross multiply
    543,991.47x = 810,519.64 × 513,433.02
  4. Step 4: Simplify right side
    543,991.47x = 416,147,546,534.51
  5. Step 5: Solve for x
    x = 416,147,546,534.51/543,991.47
  6. Step 6: Final answer
    x = 764,989.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.