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Finding the Fourth Proportional to 656,693.80, 982,853.70 and 476,266.30

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Solution

The fourth proportional to 656,693.80, 982,853.70 and 476,266.30 is: 712,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,693.80 : 982,853.70 = 476,266.30 : x
  2. Step 2: Convert to fraction form
    656,693.80/982,853.70 = 476,266.30/x
  3. Step 3: Cross multiply
    656,693.80x = 982,853.70 × 476,266.30
  4. Step 4: Simplify right side
    656,693.80x = 468,100,095,140.31
  5. Step 5: Solve for x
    x = 468,100,095,140.31/656,693.80
  6. Step 6: Final answer
    x = 712,813.33

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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.