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Finding the Fourth Proportional to 850,773, 1,174,091.46 and 468,824.40

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Solution

The fourth proportional to 850,773, 1,174,091.46 and 468,824.40 is: 646,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,773 : 1,174,091.46 = 468,824.40 : x
  2. Step 2: Convert to fraction form
    850,773/1,174,091.46 = 468,824.40/x
  3. Step 3: Cross multiply
    850,773x = 1,174,091.46 × 468,824.40
  4. Step 4: Simplify right side
    850,773x = 550,442,724,279.62
  5. Step 5: Solve for x
    x = 550,442,724,279.62/850,773
  6. Step 6: Final answer
    x = 646,991.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.