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Finding the Fourth Proportional to 477,853.97, 716,448.78 and 211,469.13

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Solution

The fourth proportional to 477,853.97, 716,448.78 and 211,469.13 is: 317,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,853.97 : 716,448.78 = 211,469.13 : x
  2. Step 2: Convert to fraction form
    477,853.97/716,448.78 = 211,469.13/x
  3. Step 3: Cross multiply
    477,853.97x = 716,448.78 × 211,469.13
  4. Step 4: Simplify right side
    477,853.97x = 151,506,800,196.16
  5. Step 5: Solve for x
    x = 151,506,800,196.16/477,853.97
  6. Step 6: Final answer
    x = 317,056.70

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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.