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Finding the Fourth Proportional to 547,340.10, 821,010.15 and 460,734.90

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Solution

The fourth proportional to 547,340.10, 821,010.15 and 460,734.90 is: 691,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,340.10 : 821,010.15 = 460,734.90 : x
  2. Step 2: Convert to fraction form
    547,340.10/821,010.15 = 460,734.90/x
  3. Step 3: Cross multiply
    547,340.10x = 821,010.15 × 460,734.90
  4. Step 4: Simplify right side
    547,340.10x = 378,268,029,359.24
  5. Step 5: Solve for x
    x = 378,268,029,359.24/547,340.10
  6. Step 6: Final answer
    x = 691,102.35

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Similar ratio
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1.5x scale

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.