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Finding the Fourth Proportional to 509,816, 703,259.12 and 305,812.64

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Solution

The fourth proportional to 509,816, 703,259.12 and 305,812.64 is: 421,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,816 : 703,259.12 = 305,812.64 : x
  2. Step 2: Convert to fraction form
    509,816/703,259.12 = 305,812.64/x
  3. Step 3: Cross multiply
    509,816x = 703,259.12 × 305,812.64
  4. Step 4: Simplify right side
    509,816x = 215,065,528,091.28
  5. Step 5: Solve for x
    x = 215,065,528,091.28/509,816
  6. Step 6: Final answer
    x = 421,849.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.