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Finding the Fourth Proportional to 703,194.09, 969,769.91 and 461,384.79

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Solution

The fourth proportional to 703,194.09, 969,769.91 and 461,384.79 is: 636,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,194.09 : 969,769.91 = 461,384.79 : x
  2. Step 2: Convert to fraction form
    703,194.09/969,769.91 = 461,384.79/x
  3. Step 3: Cross multiply
    703,194.09x = 969,769.91 × 461,384.79
  4. Step 4: Simplify right side
    703,194.09x = 447,437,083,966.75
  5. Step 5: Solve for x
    x = 447,437,083,966.75/703,194.09
  6. Step 6: Final answer
    x = 636,292.44

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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.