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Finding the Fourth Proportional to 905,666, 1,358,706.36 and 314,690

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Solution

The fourth proportional to 905,666, 1,358,706.36 and 314,690 is: 472,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,666 : 1,358,706.36 = 314,690 : x
  2. Step 2: Convert to fraction form
    905,666/1,358,706.36 = 314,690/x
  3. Step 3: Cross multiply
    905,666x = 1,358,706.36 × 314,690
  4. Step 4: Simplify right side
    905,666x = 427,571,304,428.40
  5. Step 5: Solve for x
    x = 427,571,304,428.40/905,666
  6. Step 6: Final answer
    x = 472,107.05

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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.