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Finding the Fourth Proportional to 714,747.13, 986,351.03 and 412,941.13

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Solution

The fourth proportional to 714,747.13, 986,351.03 and 412,941.13 is: 569,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,747.13 : 986,351.03 = 412,941.13 : x
  2. Step 2: Convert to fraction form
    714,747.13/986,351.03 = 412,941.13/x
  3. Step 3: Cross multiply
    714,747.13x = 986,351.03 × 412,941.13
  4. Step 4: Simplify right side
    714,747.13x = 407,304,908,904.86
  5. Step 5: Solve for x
    x = 407,304,908,904.86/714,747.13
  6. Step 6: Final answer
    x = 569,858.75

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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.