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Finding the Fourth Proportional to 553,361.40, 830,042.10 and 454,946.40

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Solution

The fourth proportional to 553,361.40, 830,042.10 and 454,946.40 is: 682,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,361.40 : 830,042.10 = 454,946.40 : x
  2. Step 2: Convert to fraction form
    553,361.40/830,042.10 = 454,946.40/x
  3. Step 3: Cross multiply
    553,361.40x = 830,042.10 × 454,946.40
  4. Step 4: Simplify right side
    553,361.40x = 377,624,665,243.44
  5. Step 5: Solve for x
    x = 377,624,665,243.44/553,361.40
  6. Step 6: Final answer
    x = 682,419.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.