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Finding the Fourth Proportional to 851,305.75, 1,174,809.90 and 469,346.20

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Solution

The fourth proportional to 851,305.75, 1,174,809.90 and 469,346.20 is: 647,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,305.75 : 1,174,809.90 = 469,346.20 : x
  2. Step 2: Convert to fraction form
    851,305.75/1,174,809.90 = 469,346.20/x
  3. Step 3: Cross multiply
    851,305.75x = 1,174,809.90 × 469,346.20
  4. Step 4: Simplify right side
    851,305.75x = 551,392,562,287.38
  5. Step 5: Solve for x
    x = 551,392,562,287.38/851,305.75
  6. Step 6: Final answer
    x = 647,702.15

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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.