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Finding the Fourth Proportional to 714,746.63, 986,350.35 and 412,940.63

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Solution

The fourth proportional to 714,746.63, 986,350.35 and 412,940.63 is: 569,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,746.63 : 986,350.35 = 412,940.63 : x
  2. Step 2: Convert to fraction form
    714,746.63/986,350.35 = 412,940.63/x
  3. Step 3: Cross multiply
    714,746.63x = 986,350.35 × 412,940.63
  4. Step 4: Simplify right side
    714,746.63x = 407,304,129,997.97
  5. Step 5: Solve for x
    x = 407,304,129,997.97/714,746.63
  6. Step 6: Final answer
    x = 569,858.07

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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.