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Finding the Fourth Proportional to 714,843.57, 986,705.55 and 460,194.75

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Solution

The fourth proportional to 714,843.57, 986,705.55 and 460,194.75 is: 635,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,843.57 : 986,705.55 = 460,194.75 : x
  2. Step 2: Convert to fraction form
    714,843.57/986,705.55 = 460,194.75/x
  3. Step 3: Cross multiply
    714,843.57x = 986,705.55 × 460,194.75
  4. Step 4: Simplify right side
    714,843.57x = 454,076,713,905.86
  5. Step 5: Solve for x
    x = 454,076,713,905.86/714,843.57
  6. Step 6: Final answer
    x = 635,211.30

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Double scale
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1.5x scale

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.